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<h2 class="hd hd-2 unit-title">Comparison of Bayesian and Frequentist inference</h2>
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<h2 class="hd hd-2 unit-title">Class 20 reading questions: NHST</h2>
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<p>
Be sure to give your answers to at least 3 significant digits. The answer boxes also accept Matlab style arithmetic expressions. </p>
<p><b class="bf">1.</b> We run a [mathjaxinline]z[/mathjaxinline]-test on normal data. The null hypothesis is that the data is drawn from a distribution with mean 0. The alternative is that the mean is not 0. The [mathjaxinline]p[/mathjaxinline]-value of the test turns out to be [mathjaxinline]0.3[/mathjaxinline]. What are the odds that the data is drawn from a distribution with mean 0? </p>
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<text> 19/1</text>
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<text> 1/19</text>
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<text> 1/20</text>
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<text> 1/24</text>
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<text> 24/1</text>
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<text> unknown</text>
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<p><b class="bf">2.</b> As a statistician with an expertise in coin tossing, you are given the following data: A coin was tossed independently 12 times and 6 of the tosses landed heads. </p>
<p><b class="bf">(2a)</b> You don't have enough information to compute [mathjaxinline]p[/mathjaxinline]-value for this data. <div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><div class="choicegroup capa_inputtype" id="inputtype_c20-rq12_2_1">
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<p><b class="bf">(2b)</b> You don't have enough information to a find Bayesian posterior distribution on the coin's probability of landing heads. <div class="wrapper-problem-response" tabindex="-1" aria-label="Question 2" role="group"><div class="choicegroup capa_inputtype" id="inputtype_c20-rq12_3_1">
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