<div class="xblock xblock-public_view xblock-public_view-vertical" data-course-id="course-v1:MITx+18.05r_10+2022_Summer" data-has-score="False" data-runtime-version="1" data-block-type="vertical" data-request-token="2066ae60b23a11ef92500e328d43dba3" data-usage-id="block-v1:MITx+18.05r_10+2022_Summer+type@vertical+block@ps8" data-graded="False" data-init="VerticalStudentView" data-runtime-class="LmsRuntime">
<h2 class="hd hd-2 unit-title">Problem set 8</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+18.05r_10+2022_Summer+type@html+block@ps8_hashpdf">
<div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-course-id="course-v1:MITx+18.05r_10+2022_Summer" data-has-score="False" data-runtime-version="1" data-block-type="html" data-request-token="2066ae60b23a11ef92500e328d43dba3" data-usage-id="block-v1:MITx+18.05r_10+2022_Summer+type@html+block@ps8_hashpdf" data-graded="False" data-init="XBlockToXModuleShim" data-runtime-class="LmsRuntime">
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{"xmodule-type": "HTMLModule"}
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<p>You can download this pdf file from <a href="/assets/courseware/v1/64d76dc199c7fb229cc969f5ec86a7e9/asset-v1:MITx+18.05r_10+2022_Summer+type@asset+block/pdf_mit18_05_s22_ps8.pdf">here</a></p><iframe src="/assets/courseware/v1/64d76dc199c7fb229cc969f5ec86a7e9/asset-v1:MITx+18.05r_10+2022_Summer+type@asset+block/pdf_mit18_05_s22_ps8.pdf" width="100%" height="1000px"> </iframe>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-course-id="course-v1:MITx+18.05r_10+2022_Summer" data-has-score="False" data-runtime-version="1" data-block-type="vertical" data-request-token="2066ae60b23a11ef92500e328d43dba3" data-usage-id="block-v1:MITx+18.05r_10+2022_Summer+type@vertical+block@ps8-checkvertical" data-graded="False" data-init="VerticalStudentView" data-runtime-class="LmsRuntime">
<h2 class="hd hd-2 unit-title">Pset 8 problem checker</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-1ab-check">
<div class="xblock xblock-public_view xblock-public_view-problem xmodule_display xmodule_ProblemBlock" data-course-id="course-v1:MITx+18.05r_10+2022_Summer" data-has-score="True" data-runtime-version="1" data-block-type="problem" data-request-token="2066ae60b23a11ef92500e328d43dba3" data-usage-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-1ab-check" data-graded="False" data-init="XBlockToXModuleShim" data-runtime-class="LmsRuntime">
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{"xmodule-type": "Problem"}
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<div id="problem_ps8-1ab-check" class="problems-wrapper" role="group"
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data-problem-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-1ab-check" data-url="/courses/course-v1:MITx+18.05r_10+2022_Summer/xblock/block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-1ab-check/handler/xmodule_handler"
data-problem-score="0"
data-problem-total-possible="0"
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<h3 class="hd hd-3 problem-header" id="ps8-1ab-check-problem-title" aria-describedby="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-1ab-check-problem-progress" tabindex="-1">
Problem 1ab
</h3>
<div class="problem-progress" id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-1ab-check-problem-progress"></div>
<div class="problem">
<div>
<p>
To check your answers put them in the appropriate box and click the &#8216;Check' button. The checker can do arithmetic. So, 3^2, [mathjaxinline]5/3[/mathjaxinline] and [mathjaxinline]3*4[/mathjaxinline] are okay. </p>
<p>
Unless otherwise stated the checker expects numerical answers to 3 significant digits. </p>
<p>
For formulas you can use R notation. Remember to use a * for multiplication, i.e. [mathjaxinline]3*x[/mathjaxinline] <b class="bf">NOT </b> [mathjaxinline]3x[/mathjaxinline]. </p>
<p>
The checker knows many of the standard functions, e.g. use exp(x) and ln(x) for the exponential and natural log functions. </p>
<p>
The formula checker expects a specific letter for the variables, so be sure to use the ones specified. </p>
<p><b class="bf">1(a)</b> Give the exact (binomial) one-sided [mathjaxinline]p[/mathjaxinline]-value for the data.<br/><div class="inline" tabindex="-1" aria-label="Question 1" role="group"><div id="inputtype_ps8-1ab-check_2_1" class="text-input-dynamath capa_inputtype inline textline">
<div class="text-input-dynamath_data inline" data-preprocessor="MJxPrep"/>
<div class="script_placeholder" data-src="/assets/courseware/v1/12474df7814ecb7a9a4088614ed78d4c/asset-v1:MITx+18.05r_10+2022_Summer+type@asset+block/MJxPrep.js"/>
<div class="unanswered inline">
<input type="text" name="input_ps8-1ab-check_2_1" id="input_ps8-1ab-check_2_1" aria-describedby="status_ps8-1ab-check_2_1" value="" class="math" size="30"/>
<span class="trailing_text" id="trailing_text_ps8-1ab-check_2_1"/>
<span class="status unanswered" id="status_ps8-1ab-check_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_ps8-1ab-check_2_1" class="answer"/>
<div id="display_ps8-1ab-check_2_1" class="equation">`{::}`</div>
<textarea style="display:none" id="input_ps8-1ab-check_2_1_dynamath" name="input_ps8-1ab-check_2_1_dynamath"/>
</div>
</div></div> </p>
<p>
Give the exact (binomial) two-sided [mathjaxinline]p[/mathjaxinline]-value for the data.<br/><div class="inline" tabindex="-1" aria-label="Question 2" role="group"><div id="inputtype_ps8-1ab-check_3_1" class="text-input-dynamath capa_inputtype inline textline">
<div class="text-input-dynamath_data inline" data-preprocessor="MJxPrep"/>
<div class="script_placeholder" data-src="/assets/courseware/v1/12474df7814ecb7a9a4088614ed78d4c/asset-v1:MITx+18.05r_10+2022_Summer+type@asset+block/MJxPrep.js"/>
<div class="unanswered inline">
<input type="text" name="input_ps8-1ab-check_3_1" id="input_ps8-1ab-check_3_1" aria-describedby="status_ps8-1ab-check_3_1" value="" class="math" size="30"/>
<span class="trailing_text" id="trailing_text_ps8-1ab-check_3_1"/>
<span class="status unanswered" id="status_ps8-1ab-check_3_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_ps8-1ab-check_3_1" class="answer"/>
<div id="display_ps8-1ab-check_3_1" class="equation">`{::}`</div>
<textarea style="display:none" id="input_ps8-1ab-check_3_1_dynamath" name="input_ps8-1ab-check_3_1_dynamath"/>
</div>
</div></div> </p>
<p>
<b class="bf">(b)</b>
<em>No answer checker given.</em>
</p>
</div>
<div class="action">
<input type="hidden" name="problem_id" value="Problem 1ab" />
<div class="submit-attempt-container">
<button type="button" class="submit btn-brand" data-submitting="Submitting" data-value="Submit" data-should-enable-submit-button="True" aria-describedby="submission_feedback_ps8-1ab-check" >
<span class="submit-label">Submit</span>
</button>
<div class="submission-feedback" id="submission_feedback_ps8-1ab-check">
<span class="sr">Some problems have options such as save, reset, hints, or show answer. These options follow the Submit button.</span>
</div>
</div>
<div class="problem-action-buttons-wrapper">
<span class="problem-action-button-wrapper">
<button type="button" class="save problem-action-btn btn-default btn-small" data-value="Save">
<span class="icon fa fa-floppy-o" aria-hidden="true"></span>
<span aria-hidden="true">Save</span>
<span class="sr">Save your answer</span>
</button>
</span>
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is-hidden"
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<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
<div class="notification general notification-show-answer
is-hidden"
tabindex="-1">
<span class="icon fa fa-info-circle" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="ps8-1ab-check-problem-title">Answers are displayed within the problem
</span>
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<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
</div>
"
data-graded="False">
<p class="loading-spinner">
<i class="fa fa-spinner fa-pulse fa-2x fa-fw"></i>
<span class="sr">Loading…</span>
</p>
</div>
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<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Problem"}
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<div id="problem_ps8-1c-check" class="problems-wrapper" role="group"
aria-labelledby="ps8-1c-check-problem-title"
data-problem-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-1c-check" data-url="/courses/course-v1:MITx+18.05r_10+2022_Summer/xblock/block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-1c-check/handler/xmodule_handler"
data-problem-score="0"
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<h3 class="hd hd-3 problem-header" id="ps8-1c-check-problem-title" aria-describedby="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-1c-check-problem-progress" tabindex="-1">
Problem 1c
</h3>
<div class="problem-progress" id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-1c-check-problem-progress"></div>
<div class="problem">
<div>
<p>
<em>For parts c-e use a two-sided rejection region.</em>
</p>
<p><b class="bf">1(c)</b> How many heads would you need to reject at [mathjaxinline]\alpha = 0.01[/mathjaxinline]?<br/>Less than or equal to<br/><div class="inline" tabindex="-1" aria-label="Question 1" role="group"><div id="inputtype_ps8-1c-check_2_1" class="text-input-dynamath capa_inputtype inline textline">
<div class="text-input-dynamath_data inline" data-preprocessor="MJxPrep"/>
<div class="script_placeholder" data-src="/assets/courseware/v1/12474df7814ecb7a9a4088614ed78d4c/asset-v1:MITx+18.05r_10+2022_Summer+type@asset+block/MJxPrep.js"/>
<div class="unanswered inline">
<input type="text" name="input_ps8-1c-check_2_1" id="input_ps8-1c-check_2_1" aria-describedby="status_ps8-1c-check_2_1" value="" class="math" size="30"/>
<span class="trailing_text" id="trailing_text_ps8-1c-check_2_1"/>
<span class="status unanswered" id="status_ps8-1c-check_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_ps8-1c-check_2_1" class="answer"/>
<div id="display_ps8-1c-check_2_1" class="equation">`{::}`</div>
<textarea style="display:none" id="input_ps8-1c-check_2_1_dynamath" name="input_ps8-1c-check_2_1_dynamath"/>
</div>
</div></div> </p>
<p>
Or more than or equal to<br/><div class="inline" tabindex="-1" aria-label="Question 2" role="group"><div id="inputtype_ps8-1c-check_3_1" class="text-input-dynamath capa_inputtype inline textline">
<div class="text-input-dynamath_data inline" data-preprocessor="MJxPrep"/>
<div class="script_placeholder" data-src="/assets/courseware/v1/12474df7814ecb7a9a4088614ed78d4c/asset-v1:MITx+18.05r_10+2022_Summer+type@asset+block/MJxPrep.js"/>
<div class="unanswered inline">
<input type="text" name="input_ps8-1c-check_3_1" id="input_ps8-1c-check_3_1" aria-describedby="status_ps8-1c-check_3_1" value="" class="math" size="30"/>
<span class="trailing_text" id="trailing_text_ps8-1c-check_3_1"/>
<span class="status unanswered" id="status_ps8-1c-check_3_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_ps8-1c-check_3_1" class="answer"/>
<div id="display_ps8-1c-check_3_1" class="equation">`{::}`</div>
<textarea style="display:none" id="input_ps8-1c-check_3_1_dynamath" name="input_ps8-1c-check_3_1_dynamath"/>
</div>
</div></div> </p>
</div>
<div class="action">
<input type="hidden" name="problem_id" value="Problem 1c" />
<div class="submit-attempt-container">
<button type="button" class="submit btn-brand" data-submitting="Submitting" data-value="Submit" data-should-enable-submit-button="True" aria-describedby="submission_feedback_ps8-1c-check" >
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</button>
<div class="submission-feedback" id="submission_feedback_ps8-1c-check">
<span class="sr">Some problems have options such as save, reset, hints, or show answer. These options follow the Submit button.</span>
</div>
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</div>
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"
data-graded="False">
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<span class="sr">Loading…</span>
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</div>
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<div id="problem_ps8-1d-check" class="problems-wrapper" role="group"
aria-labelledby="ps8-1d-check-problem-title"
data-problem-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-1d-check" data-url="/courses/course-v1:MITx+18.05r_10+2022_Summer/xblock/block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-1d-check/handler/xmodule_handler"
data-problem-score="0"
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<h3 class="hd hd-3 problem-header" id="ps8-1d-check-problem-title" aria-describedby="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-1d-check-problem-progress" tabindex="-1">
Problem 1d
</h3>
<div class="problem-progress" id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-1d-check-problem-progress"></div>
<div class="problem">
<div>
<p>
<b class="bf">1(d)</b>
</p>
<p>
What's the power when [mathjaxinline]\alpha = 0.05[/mathjaxinline] for [mathjaxinline]\theta = 0.55[/mathjaxinline]?<br/><div class="inline" tabindex="-1" aria-label="Question 1" role="group"><div id="inputtype_ps8-1d-check_2_1" class="text-input-dynamath capa_inputtype inline textline">
<div class="text-input-dynamath_data inline" data-preprocessor="MJxPrep"/>
<div class="script_placeholder" data-src="/assets/courseware/v1/12474df7814ecb7a9a4088614ed78d4c/asset-v1:MITx+18.05r_10+2022_Summer+type@asset+block/MJxPrep.js"/>
<div class="unanswered inline">
<input type="text" name="input_ps8-1d-check_2_1" id="input_ps8-1d-check_2_1" aria-describedby="status_ps8-1d-check_2_1" value="" class="math" size="30"/>
<span class="trailing_text" id="trailing_text_ps8-1d-check_2_1"/>
<span class="status unanswered" id="status_ps8-1d-check_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_ps8-1d-check_2_1" class="answer"/>
<div id="display_ps8-1d-check_2_1" class="equation">`{::}`</div>
<textarea style="display:none" id="input_ps8-1d-check_2_1_dynamath" name="input_ps8-1d-check_2_1_dynamath"/>
</div>
</div></div> </p>
<p>
What's the power when [mathjaxinline]\alpha = 0.05[/mathjaxinline] for [mathjaxinline]\theta = 0.6[/mathjaxinline]?<br/><div class="inline" tabindex="-1" aria-label="Question 2" role="group"><div id="inputtype_ps8-1d-check_3_1" class="text-input-dynamath capa_inputtype inline textline">
<div class="text-input-dynamath_data inline" data-preprocessor="MJxPrep"/>
<div class="script_placeholder" data-src="/assets/courseware/v1/12474df7814ecb7a9a4088614ed78d4c/asset-v1:MITx+18.05r_10+2022_Summer+type@asset+block/MJxPrep.js"/>
<div class="unanswered inline">
<input type="text" name="input_ps8-1d-check_3_1" id="input_ps8-1d-check_3_1" aria-describedby="status_ps8-1d-check_3_1" value="" class="math" size="30"/>
<span class="trailing_text" id="trailing_text_ps8-1d-check_3_1"/>
<span class="status unanswered" id="status_ps8-1d-check_3_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_ps8-1d-check_3_1" class="answer"/>
<div id="display_ps8-1d-check_3_1" class="equation">`{::}`</div>
<textarea style="display:none" id="input_ps8-1d-check_3_1_dynamath" name="input_ps8-1d-check_3_1_dynamath"/>
</div>
</div></div> </p>
</div>
<div class="action">
<input type="hidden" name="problem_id" value="Problem 1d" />
<div class="submit-attempt-container">
<button type="button" class="submit btn-brand" data-submitting="Submitting" data-value="Submit" data-should-enable-submit-button="True" aria-describedby="submission_feedback_ps8-1d-check" >
<span class="submit-label">Submit</span>
</button>
<div class="submission-feedback" id="submission_feedback_ps8-1d-check">
<span class="sr">Some problems have options such as save, reset, hints, or show answer. These options follow the Submit button.</span>
</div>
</div>
<div class="problem-action-buttons-wrapper">
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<div class="notification general notification-show-answer
is-hidden"
tabindex="-1">
<span class="icon fa fa-info-circle" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="ps8-1d-check-problem-title">Answers are displayed within the problem
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
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"
data-graded="False">
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<i class="fa fa-spinner fa-pulse fa-2x fa-fw"></i>
<span class="sr">Loading…</span>
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</div>
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<div class="xblock xblock-public_view xblock-public_view-problem xmodule_display xmodule_ProblemBlock" data-course-id="course-v1:MITx+18.05r_10+2022_Summer" data-has-score="True" data-runtime-version="1" data-block-type="problem" data-request-token="2066ae60b23a11ef92500e328d43dba3" data-usage-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-1e-check" data-graded="False" data-init="XBlockToXModuleShim" data-runtime-class="LmsRuntime">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Problem"}
</script>
<div id="problem_ps8-1e-check" class="problems-wrapper" role="group"
aria-labelledby="ps8-1e-check-problem-title"
data-problem-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-1e-check" data-url="/courses/course-v1:MITx+18.05r_10+2022_Summer/xblock/block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-1e-check/handler/xmodule_handler"
data-problem-score="0"
data-problem-total-possible="0"
data-attempts-used="0"
data-content="
<h3 class="hd hd-3 problem-header" id="ps8-1e-check-problem-title" aria-describedby="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-1e-check-problem-progress" tabindex="-1">
Problem 1e
</h3>
<div class="problem-progress" id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-1e-check-problem-progress"></div>
<div class="problem">
<div>
<p><b class="bf">1(e)</b> How many spins with [mathjaxinline]\alpha = 0.05[/mathjaxinline] to have power [mathjaxinline]0.9[/mathjaxinline] when [mathjaxinline]\theta = 0.55[/mathjaxinline]?<br/><div class="inline" tabindex="-1" aria-label="Question 1" role="group"><div id="inputtype_ps8-1e-check_2_1" class="text-input-dynamath capa_inputtype inline textline">
<div class="text-input-dynamath_data inline" data-preprocessor="MJxPrep"/>
<div class="script_placeholder" data-src="/assets/courseware/v1/12474df7814ecb7a9a4088614ed78d4c/asset-v1:MITx+18.05r_10+2022_Summer+type@asset+block/MJxPrep.js"/>
<div class="unanswered inline">
<input type="text" name="input_ps8-1e-check_2_1" id="input_ps8-1e-check_2_1" aria-describedby="status_ps8-1e-check_2_1" value="" class="math" size="30"/>
<span class="trailing_text" id="trailing_text_ps8-1e-check_2_1"/>
<span class="status unanswered" id="status_ps8-1e-check_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_ps8-1e-check_2_1" class="answer"/>
<div id="display_ps8-1e-check_2_1" class="equation">`{::}`</div>
<textarea style="display:none" id="input_ps8-1e-check_2_1_dynamath" name="input_ps8-1e-check_2_1_dynamath"/>
</div>
</div></div> </p>
</div>
<div class="action">
<input type="hidden" name="problem_id" value="Problem 1e" />
<div class="submit-attempt-container">
<button type="button" class="submit btn-brand" data-submitting="Submitting" data-value="Submit" data-should-enable-submit-button="True" aria-describedby="submission_feedback_ps8-1e-check" >
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<span class="sr">Some problems have options such as save, reset, hints, or show answer. These options follow the Submit button.</span>
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<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
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<div class="notification general notification-show-answer
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<span class="notification-message" aria-describedby="ps8-1e-check-problem-title">Answers are displayed within the problem
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data-graded="False">
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<span class="sr">Loading…</span>
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<div class="xblock xblock-public_view xblock-public_view-problem xmodule_display xmodule_ProblemBlock" data-course-id="course-v1:MITx+18.05r_10+2022_Summer" data-has-score="True" data-runtime-version="1" data-block-type="problem" data-request-token="2066ae60b23a11ef92500e328d43dba3" data-usage-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-1fg-check" data-graded="False" data-init="XBlockToXModuleShim" data-runtime-class="LmsRuntime">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Problem"}
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<div id="problem_ps8-1fg-check" class="problems-wrapper" role="group"
aria-labelledby="ps8-1fg-check-problem-title"
data-problem-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-1fg-check" data-url="/courses/course-v1:MITx+18.05r_10+2022_Summer/xblock/block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-1fg-check/handler/xmodule_handler"
data-problem-score="0"
data-problem-total-possible="0"
data-attempts-used="0"
data-content="
<h3 class="hd hd-3 problem-header" id="ps8-1fg-check-problem-title" aria-describedby="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-1fg-check-problem-progress" tabindex="-1">
Problem 1fg
</h3>
<div class="problem-progress" id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-1fg-check-problem-progress"></div>
<div class="problem">
<div>
<p><b class="bf">1(f)</b> What's the posterior probability of [mathjaxinline]\theta = 0.55[/mathjaxinline]?<br/><div class="inline" tabindex="-1" aria-label="Question 1" role="group"><div id="inputtype_ps8-1fg-check_2_1" class="text-input-dynamath capa_inputtype inline textline">
<div class="text-input-dynamath_data inline" data-preprocessor="MJxPrep"/>
<div class="script_placeholder" data-src="/assets/courseware/v1/12474df7814ecb7a9a4088614ed78d4c/asset-v1:MITx+18.05r_10+2022_Summer+type@asset+block/MJxPrep.js"/>
<div class="unanswered inline">
<input type="text" name="input_ps8-1fg-check_2_1" id="input_ps8-1fg-check_2_1" aria-describedby="status_ps8-1fg-check_2_1" value="" class="math" size="30"/>
<span class="trailing_text" id="trailing_text_ps8-1fg-check_2_1"/>
<span class="status unanswered" id="status_ps8-1fg-check_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_ps8-1fg-check_2_1" class="answer"/>
<div id="display_ps8-1fg-check_2_1" class="equation">`{::}`</div>
<textarea style="display:none" id="input_ps8-1fg-check_2_1_dynamath" name="input_ps8-1fg-check_2_1_dynamath"/>
</div>
</div></div> </p>
<p>
<b class="bf">1(g)</b>
<em>No answer checker given.</em>
</p>
</div>
<div class="action">
<input type="hidden" name="problem_id" value="Problem 1fg" />
<div class="submit-attempt-container">
<button type="button" class="submit btn-brand" data-submitting="Submitting" data-value="Submit" data-should-enable-submit-button="True" aria-describedby="submission_feedback_ps8-1fg-check" >
<span class="submit-label">Submit</span>
</button>
<div class="submission-feedback" id="submission_feedback_ps8-1fg-check">
<span class="sr">Some problems have options such as save, reset, hints, or show answer. These options follow the Submit button.</span>
</div>
</div>
<div class="problem-action-buttons-wrapper">
<span class="problem-action-button-wrapper">
<button type="button" class="save problem-action-btn btn-default btn-small" data-value="Save">
<span class="icon fa fa-floppy-o" aria-hidden="true"></span>
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</button>
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<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
<div class="notification general notification-show-answer
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<span class="notification-message" aria-describedby="ps8-1fg-check-problem-title">Answers are displayed within the problem
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</div>
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data-graded="False">
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<i class="fa fa-spinner fa-pulse fa-2x fa-fw"></i>
<span class="sr">Loading…</span>
</p>
</div>
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<div class="vert vert-5" data-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-2-check">
<div class="xblock xblock-public_view xblock-public_view-problem xmodule_display xmodule_ProblemBlock" data-course-id="course-v1:MITx+18.05r_10+2022_Summer" data-has-score="True" data-runtime-version="1" data-block-type="problem" data-request-token="2066ae60b23a11ef92500e328d43dba3" data-usage-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-2-check" data-graded="False" data-init="XBlockToXModuleShim" data-runtime-class="LmsRuntime">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Problem"}
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<div id="problem_ps8-2-check" class="problems-wrapper" role="group"
aria-labelledby="ps8-2-check-problem-title"
data-problem-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-2-check" data-url="/courses/course-v1:MITx+18.05r_10+2022_Summer/xblock/block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-2-check/handler/xmodule_handler"
data-problem-score="0"
data-problem-total-possible="0"
data-attempts-used="0"
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<h3 class="hd hd-3 problem-header" id="ps8-2-check-problem-title" aria-describedby="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-2-check-problem-progress" tabindex="-1">
Problem 2
</h3>
<div class="problem-progress" id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-2-check-problem-progress"></div>
<div class="problem">
<div>
<p><b class="bf">2(a)</b> Estimate the probability of type I error.<br/><div class="inline" tabindex="-1" aria-label="Question 1" role="group"><div id="inputtype_ps8-2-check_2_1" class="text-input-dynamath capa_inputtype inline textline">
<div class="text-input-dynamath_data inline" data-preprocessor="MJxPrep"/>
<div class="script_placeholder" data-src="/assets/courseware/v1/12474df7814ecb7a9a4088614ed78d4c/asset-v1:MITx+18.05r_10+2022_Summer+type@asset+block/MJxPrep.js"/>
<div class="unanswered inline">
<input type="text" name="input_ps8-2-check_2_1" id="input_ps8-2-check_2_1" aria-describedby="status_ps8-2-check_2_1" value="" class="math" size="30"/>
<span class="trailing_text" id="trailing_text_ps8-2-check_2_1"/>
<span class="status unanswered" id="status_ps8-2-check_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_ps8-2-check_2_1" class="answer"/>
<div id="display_ps8-2-check_2_1" class="equation">`{::}`</div>
<textarea style="display:none" id="input_ps8-2-check_2_1_dynamath" name="input_ps8-2-check_2_1_dynamath"/>
</div>
</div></div> </p>
<p>
Estimate the probability of type II error.<br/><div class="inline" tabindex="-1" aria-label="Question 2" role="group"><div id="inputtype_ps8-2-check_3_1" class="text-input-dynamath capa_inputtype inline textline">
<div class="text-input-dynamath_data inline" data-preprocessor="MJxPrep"/>
<div class="script_placeholder" data-src="/assets/courseware/v1/12474df7814ecb7a9a4088614ed78d4c/asset-v1:MITx+18.05r_10+2022_Summer+type@asset+block/MJxPrep.js"/>
<div class="unanswered inline">
<input type="text" name="input_ps8-2-check_3_1" id="input_ps8-2-check_3_1" aria-describedby="status_ps8-2-check_3_1" value="" class="math" size="30"/>
<span class="trailing_text" id="trailing_text_ps8-2-check_3_1"/>
<span class="status unanswered" id="status_ps8-2-check_3_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_ps8-2-check_3_1" class="answer"/>
<div id="display_ps8-2-check_3_1" class="equation">`{::}`</div>
<textarea style="display:none" id="input_ps8-2-check_3_1_dynamath" name="input_ps8-2-check_3_1_dynamath"/>
</div>
</div></div> </p>
<p>
<b class="bf">2(b)</b>
<em>No answer checker given.</em>
</p>
</div>
<div class="action">
<input type="hidden" name="problem_id" value="Problem 2" />
<div class="submit-attempt-container">
<button type="button" class="submit btn-brand" data-submitting="Submitting" data-value="Submit" data-should-enable-submit-button="True" aria-describedby="submission_feedback_ps8-2-check" >
<span class="submit-label">Submit</span>
</button>
<div class="submission-feedback" id="submission_feedback_ps8-2-check">
<span class="sr">Some problems have options such as save, reset, hints, or show answer. These options follow the Submit button.</span>
</div>
</div>
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<span aria-hidden="true">Save</span>
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</button>
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"
data-graded="False">
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<i class="fa fa-spinner fa-pulse fa-2x fa-fw"></i>
<span class="sr">Loading…</span>
</p>
</div>
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</div>
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<div class="xblock xblock-public_view xblock-public_view-problem xmodule_display xmodule_ProblemBlock" data-course-id="course-v1:MITx+18.05r_10+2022_Summer" data-has-score="True" data-runtime-version="1" data-block-type="problem" data-request-token="2066ae60b23a11ef92500e328d43dba3" data-usage-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-3-check" data-graded="False" data-init="XBlockToXModuleShim" data-runtime-class="LmsRuntime">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Problem"}
</script>
<div id="problem_ps8-3-check" class="problems-wrapper" role="group"
aria-labelledby="ps8-3-check-problem-title"
data-problem-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-3-check" data-url="/courses/course-v1:MITx+18.05r_10+2022_Summer/xblock/block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-3-check/handler/xmodule_handler"
data-problem-score="0"
data-problem-total-possible="0"
data-attempts-used="0"
data-content="
<h3 class="hd hd-3 problem-header" id="ps8-3-check-problem-title" aria-describedby="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-3-check-problem-progress" tabindex="-1">
Problem 3
</h3>
<div class="problem-progress" id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-3-check-problem-progress"></div>
<div class="problem">
<div>
<p>
<b class="bf">3(a)</b>
<em>No answer checker given.</em>
</p>
<p><b class="bf">3b(i)</b> Give the threshhold for [mathjaxinline]\bar{x}[/mathjaxinline] for which they should use issue a ticket.<br/><div class="inline" tabindex="-1" aria-label="Question 1" role="group"><div id="inputtype_ps8-3-check_2_1" class="text-input-dynamath capa_inputtype inline textline">
<div class="text-input-dynamath_data inline" data-preprocessor="MJxPrep"/>
<div class="script_placeholder" data-src="/assets/courseware/v1/12474df7814ecb7a9a4088614ed78d4c/asset-v1:MITx+18.05r_10+2022_Summer+type@asset+block/MJxPrep.js"/>
<div class="unanswered inline">
<input type="text" name="input_ps8-3-check_2_1" id="input_ps8-3-check_2_1" aria-describedby="status_ps8-3-check_2_1" value="" class="math" size="30"/>
<span class="trailing_text" id="trailing_text_ps8-3-check_2_1"/>
<span class="status unanswered" id="status_ps8-3-check_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_ps8-3-check_2_1" class="answer"/>
<div id="display_ps8-3-check_2_1" class="equation">`{::}`</div>
<textarea style="display:none" id="input_ps8-3-check_2_1_dynamath" name="input_ps8-3-check_2_1_dynamath"/>
</div>
</div></div> </p>
<p>
<b class="bf">3b(ii)</b>
<em>No answer checker given.</em>
</p>
<p><b class="bf">3b(iii)</b> The probability that a person getting a ticket was not speeding is <div class="wrapper-problem-response" tabindex="-1" aria-label="Question 2" role="group"><div class="choicegroup capa_inputtype" id="inputtype_ps8-3-check_3_1">
<fieldset aria-describedby="status_ps8-3-check_3_1">
<div class="field">
<input type="radio" name="input_ps8-3-check_3_1" id="input_ps8-3-check_3_1_choice_1" class="field-input input-radio" value="choice_1"/><label id="ps8-3-check_3_1-choice_1-label" for="input_ps8-3-check_3_1_choice_1" class="response-label field-label label-inline" aria-describedby="status_ps8-3-check_3_1"> <text> &lt; 5%</text>
</label>
</div>
<div class="field">
<input type="radio" name="input_ps8-3-check_3_1" id="input_ps8-3-check_3_1_choice_2" class="field-input input-radio" value="choice_2"/><label id="ps8-3-check_3_1-choice_2-label" for="input_ps8-3-check_3_1_choice_2" class="response-label field-label label-inline" aria-describedby="status_ps8-3-check_3_1"> <text> between 5 and 50%</text>
</label>
</div>
<div class="field">
<input type="radio" name="input_ps8-3-check_3_1" id="input_ps8-3-check_3_1_choice_3" class="field-input input-radio" value="choice_3"/><label id="ps8-3-check_3_1-choice_3-label" for="input_ps8-3-check_3_1_choice_3" class="response-label field-label label-inline" aria-describedby="status_ps8-3-check_3_1"> <text> Unknown</text>
</label>
</div>
<span id="answer_ps8-3-check_3_1"/>
</fieldset>
<div class="indicator-container">
<span class="status unanswered" id="status_ps8-3-check_3_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
</div>
</div></div> </p>
<p><b class="bf">3b(iv)</b> Assuming no one speeds, give the percentage of tickets given in error.<br/><div class="inline" tabindex="-1" aria-label="Question 3" role="group"><div id="inputtype_ps8-3-check_4_1" class="text-input-dynamath capa_inputtype inline textline">
<div class="text-input-dynamath_data inline" data-preprocessor="MJxPrep"/>
<div class="script_placeholder" data-src="/assets/courseware/v1/12474df7814ecb7a9a4088614ed78d4c/asset-v1:MITx+18.05r_10+2022_Summer+type@asset+block/MJxPrep.js"/>
<div class="unanswered inline">
<input type="text" name="input_ps8-3-check_4_1" id="input_ps8-3-check_4_1" aria-describedby="status_ps8-3-check_4_1" value="" class="math" size="30"/>
<span class="trailing_text" id="trailing_text_ps8-3-check_4_1"/>
<span class="status unanswered" id="status_ps8-3-check_4_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_ps8-3-check_4_1" class="answer"/>
<div id="display_ps8-3-check_4_1" class="equation">`{::}`</div>
<textarea style="display:none" id="input_ps8-3-check_4_1_dynamath" name="input_ps8-3-check_4_1_dynamath"/>
</div>
</div></div> </p>
<p><b class="bf">3(c)</b> What is the power of this test? <br/><div class="inline" tabindex="-1" aria-label="Question 4" role="group"><div id="inputtype_ps8-3-check_5_1" class="text-input-dynamath capa_inputtype inline textline">
<div class="text-input-dynamath_data inline" data-preprocessor="MJxPrep"/>
<div class="script_placeholder" data-src="/assets/courseware/v1/12474df7814ecb7a9a4088614ed78d4c/asset-v1:MITx+18.05r_10+2022_Summer+type@asset+block/MJxPrep.js"/>
<div class="unanswered inline">
<input type="text" name="input_ps8-3-check_5_1" id="input_ps8-3-check_5_1" aria-describedby="status_ps8-3-check_5_1" value="" class="math" size="30"/>
<span class="trailing_text" id="trailing_text_ps8-3-check_5_1"/>
<span class="status unanswered" id="status_ps8-3-check_5_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_ps8-3-check_5_1" class="answer"/>
<div id="display_ps8-3-check_5_1" class="equation">`{::}`</div>
<textarea style="display:none" id="input_ps8-3-check_5_1_dynamath" name="input_ps8-3-check_5_1_dynamath"/>
</div>
</div></div> </p>
<p>
How many cameras are needed to ensure a power of 0.9? <br/><div class="inline" tabindex="-1" aria-label="Question 5" role="group"><div id="inputtype_ps8-3-check_6_1" class="text-input-dynamath capa_inputtype inline textline">
<div class="text-input-dynamath_data inline" data-preprocessor="MJxPrep"/>
<div class="script_placeholder" data-src="/assets/courseware/v1/12474df7814ecb7a9a4088614ed78d4c/asset-v1:MITx+18.05r_10+2022_Summer+type@asset+block/MJxPrep.js"/>
<div class="unanswered inline">
<input type="text" name="input_ps8-3-check_6_1" id="input_ps8-3-check_6_1" aria-describedby="status_ps8-3-check_6_1" value="" class="math" size="30"/>
<span class="trailing_text" id="trailing_text_ps8-3-check_6_1"/>
<span class="status unanswered" id="status_ps8-3-check_6_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_ps8-3-check_6_1" class="answer"/>
<div id="display_ps8-3-check_6_1" class="equation">`{::}`</div>
<textarea style="display:none" id="input_ps8-3-check_6_1_dynamath" name="input_ps8-3-check_6_1_dynamath"/>
</div>
</div></div> </p>
</div>
<div class="action">
<input type="hidden" name="problem_id" value="Problem 3" />
<div class="submit-attempt-container">
<button type="button" class="submit btn-brand" data-submitting="Submitting" data-value="Submit" data-should-enable-submit-button="True" aria-describedby="submission_feedback_ps8-3-check" >
<span class="submit-label">Submit</span>
</button>
<div class="submission-feedback" id="submission_feedback_ps8-3-check">
<span class="sr">Some problems have options such as save, reset, hints, or show answer. These options follow the Submit button.</span>
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</div>
<div class="problem-action-buttons-wrapper">
<span class="problem-action-button-wrapper">
<button type="button" class="save problem-action-btn btn-default btn-small" data-value="Save">
<span class="icon fa fa-floppy-o" aria-hidden="true"></span>
<span aria-hidden="true">Save</span>
<span class="sr">Save your answer</span>
</button>
</span>
</div>
</div>
<div class="notification warning notification-gentle-alert
is-hidden"
tabindex="-1">
<span class="icon fa fa-exclamation-circle" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="ps8-3-check-problem-title">
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
<div class="notification warning notification-save
is-hidden"
tabindex="-1">
<span class="icon fa fa-save" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="ps8-3-check-problem-title">None
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
<div class="notification general notification-show-answer
is-hidden"
tabindex="-1">
<span class="icon fa fa-info-circle" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="ps8-3-check-problem-title">Answers are displayed within the problem
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
</div>
"
data-graded="False">
<p class="loading-spinner">
<i class="fa fa-spinner fa-pulse fa-2x fa-fw"></i>
<span class="sr">Loading…</span>
</p>
</div>
</div>
</div>
<div class="vert vert-7" data-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-4-check">
<div class="xblock xblock-public_view xblock-public_view-problem xmodule_display xmodule_ProblemBlock" data-course-id="course-v1:MITx+18.05r_10+2022_Summer" data-has-score="True" data-runtime-version="1" data-block-type="problem" data-request-token="2066ae60b23a11ef92500e328d43dba3" data-usage-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-4-check" data-graded="False" data-init="XBlockToXModuleShim" data-runtime-class="LmsRuntime">
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{"xmodule-type": "Problem"}
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<div id="problem_ps8-4-check" class="problems-wrapper" role="group"
aria-labelledby="ps8-4-check-problem-title"
data-problem-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-4-check" data-url="/courses/course-v1:MITx+18.05r_10+2022_Summer/xblock/block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-4-check/handler/xmodule_handler"
data-problem-score="0"
data-problem-total-possible="0"
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<h3 class="hd hd-3 problem-header" id="ps8-4-check-problem-title" aria-describedby="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-4-check-problem-progress" tabindex="-1">
Problem 4
</h3>
<div class="problem-progress" id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-4-check-problem-progress"></div>
<div class="problem">
<div>
<p><b class="bf">4(a)</b> What is the probability of a type I error? <br/><div class="inline" tabindex="-1" aria-label="Question 1" role="group"><div id="inputtype_ps8-4-check_2_1" class="text-input-dynamath capa_inputtype inline textline">
<div class="text-input-dynamath_data inline" data-preprocessor="MJxPrep"/>
<div class="script_placeholder" data-src="/assets/courseware/v1/12474df7814ecb7a9a4088614ed78d4c/asset-v1:MITx+18.05r_10+2022_Summer+type@asset+block/MJxPrep.js"/>
<div class="unanswered inline">
<input type="text" name="input_ps8-4-check_2_1" id="input_ps8-4-check_2_1" aria-describedby="status_ps8-4-check_2_1" value="" class="math" size="30"/>
<span class="trailing_text" id="trailing_text_ps8-4-check_2_1"/>
<span class="status unanswered" id="status_ps8-4-check_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_ps8-4-check_2_1" class="answer"/>
<div id="display_ps8-4-check_2_1" class="equation">`{::}`</div>
<textarea style="display:none" id="input_ps8-4-check_2_1_dynamath" name="input_ps8-4-check_2_1_dynamath"/>
</div>
</div></div> </p>
<p><b class="bf">4(b)</b> What is the probability of a type II error? <br/><div class="inline" tabindex="-1" aria-label="Question 2" role="group"><div id="inputtype_ps8-4-check_3_1" class="text-input-dynamath capa_inputtype inline textline">
<div class="text-input-dynamath_data inline" data-preprocessor="MJxPrep"/>
<div class="script_placeholder" data-src="/assets/courseware/v1/12474df7814ecb7a9a4088614ed78d4c/asset-v1:MITx+18.05r_10+2022_Summer+type@asset+block/MJxPrep.js"/>
<div class="unanswered inline">
<input type="text" name="input_ps8-4-check_3_1" id="input_ps8-4-check_3_1" aria-describedby="status_ps8-4-check_3_1" value="" class="math" size="30"/>
<span class="trailing_text" id="trailing_text_ps8-4-check_3_1"/>
<span class="status unanswered" id="status_ps8-4-check_3_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
<p id="answer_ps8-4-check_3_1" class="answer"/>
<div id="display_ps8-4-check_3_1" class="equation">`{::}`</div>
<textarea style="display:none" id="input_ps8-4-check_3_1_dynamath" name="input_ps8-4-check_3_1_dynamath"/>
</div>
</div></div> </p>
</div>
<div class="action">
<input type="hidden" name="problem_id" value="Problem 4" />
<div class="submit-attempt-container">
<button type="button" class="submit btn-brand" data-submitting="Submitting" data-value="Submit" data-should-enable-submit-button="True" aria-describedby="submission_feedback_ps8-4-check" >
<span class="submit-label">Submit</span>
</button>
<div class="submission-feedback" id="submission_feedback_ps8-4-check">
<span class="sr">Some problems have options such as save, reset, hints, or show answer. These options follow the Submit button.</span>
</div>
</div>
<div class="problem-action-buttons-wrapper">
<span class="problem-action-button-wrapper">
<button type="button" class="save problem-action-btn btn-default btn-small" data-value="Save">
<span class="icon fa fa-floppy-o" aria-hidden="true"></span>
<span aria-hidden="true">Save</span>
<span class="sr">Save your answer</span>
</button>
</span>
</div>
</div>
<div class="notification warning notification-gentle-alert
is-hidden"
tabindex="-1">
<span class="icon fa fa-exclamation-circle" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="ps8-4-check-problem-title">
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
<div class="notification warning notification-save
is-hidden"
tabindex="-1">
<span class="icon fa fa-save" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="ps8-4-check-problem-title">None
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
<div class="notification general notification-show-answer
is-hidden"
tabindex="-1">
<span class="icon fa fa-info-circle" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="ps8-4-check-problem-title">Answers are displayed within the problem
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
</div>
"
data-graded="False">
<p class="loading-spinner">
<i class="fa fa-spinner fa-pulse fa-2x fa-fw"></i>
<span class="sr">Loading…</span>
</p>
</div>
</div>
</div>
<div class="vert vert-8" data-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-5-check">
<div class="xblock xblock-public_view xblock-public_view-problem xmodule_display xmodule_ProblemBlock" data-course-id="course-v1:MITx+18.05r_10+2022_Summer" data-has-score="True" data-runtime-version="1" data-block-type="problem" data-request-token="2066ae60b23a11ef92500e328d43dba3" data-usage-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-5-check" data-graded="False" data-init="XBlockToXModuleShim" data-runtime-class="LmsRuntime">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Problem"}
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<div id="problem_ps8-5-check" class="problems-wrapper" role="group"
aria-labelledby="ps8-5-check-problem-title"
data-problem-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-5-check" data-url="/courses/course-v1:MITx+18.05r_10+2022_Summer/xblock/block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-5-check/handler/xmodule_handler"
data-problem-score="0"
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Problem 5
</h3>
<div class="problem-progress" id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@ps8-5-check-problem-progress"></div>
<div class="problem">
<div>
<b class="bf">5.</b>
<em>No answer checker given.</em>
</div>
<div class="action">
<input type="hidden" name="problem_id" value="Problem 5" />
<div class="submit-attempt-container">
<button type="button" class="submit btn-brand" data-submitting="Submitting" data-value="Submit" data-should-enable-submit-button="True" aria-describedby="submission_feedback_ps8-5-check" >
<span class="submit-label">Submit</span>
</button>
<div class="submission-feedback" id="submission_feedback_ps8-5-check">
<span class="sr">Some problems have options such as save, reset, hints, or show answer. These options follow the Submit button.</span>
</div>
</div>
<div class="problem-action-buttons-wrapper">
<span class="problem-action-button-wrapper">
<button type="button" class="save problem-action-btn btn-default btn-small" data-value="Save">
<span class="icon fa fa-floppy-o" aria-hidden="true"></span>
<span aria-hidden="true">Save</span>
<span class="sr">Save your answer</span>
</button>
</span>
</div>
</div>
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is-hidden"
tabindex="-1">
<span class="icon fa fa-exclamation-circle" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="ps8-5-check-problem-title">
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
<div class="notification warning notification-save
is-hidden"
tabindex="-1">
<span class="icon fa fa-save" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="ps8-5-check-problem-title">None
</span>
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<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
<div class="notification general notification-show-answer
is-hidden"
tabindex="-1">
<span class="icon fa fa-info-circle" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="ps8-5-check-problem-title">Answers are displayed within the problem
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
</div>
"
data-graded="False">
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<span class="sr">Loading…</span>
</p>
</div>
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