Questions: An associate at a law firm conducts a hypothesis test at the 0.05 level of significance to determine if the proportion, p, of all people who experience nausea after taking a certain antibiotic is greater than 12%. Here are the null hypothesis H0 and the alternative hypothesis H1 for the test. H0: p=0.12 H1: p>0.12 (a) The result of the associate's hypothesis test will be to either reject or not reject the null hypothesis, H0. Based on whether H0 is in fact true or is in fact false, this result can be correct, a Type I error, or a Type II error. Complete the table below to show when the result will be correct, a Type I error, or a Type II error. (Choose one) (Choose one) V (Choose one) (Choose one) V Type I error Correct (Choose one) V Correct (b) The associate takes a random sample and determines it is appropriate to use a Z test. The value of the test statistic is z=1.991 (rounded to three decimal places). Draw the appropriate figure for the test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. One-tailed Two-tailed

Transcript text: An associate at a law firm conducts a hypothesis test at the 0.05 level of significance to determine if the proportion, $p$, of all people who experience nausea after taking a certain antibiotic is greater than $12 \%$. Here are the null hypothesis $H_{0}$ and the alternative hypothesis $H_{1}$ for the test. \[ \begin{array}{l} H_{0}: p=0.12 \\ H_{1}: p>0.12 \end{array} \] (a) The result of the associate's hypothesis test will be to either reject or not reject the null hypothesis, $H_{0}$. Based on whether $H_{0}$ is in fact true or is in fact false, this result can be correct, a Type I error, or a Type II error. Complete the table below to show when the result will be correct, a Type I error, or a Type II error. \begin{tabular}{|l|l|l|l|} \hline & (Choose one) & $\mathbf{V}$ & (Choose one) \\ \hline (Choose one) & $\mathbf{V}$ & Type I error & \\ \hline & & Correct \\ \hline (Choose one) & $\mathbf{V}$ & Correct & \\ \hline \end{tabular} (b) The associate takes a random sample and determines it is appropriate to use a $Z$ test. The value of the test statistic is $z=1.991$ (rounded to three decimal places). Draw the appropriate figure for the test. \begin{tabular}{|l|l|} \hline Standard Normal Distribution & \\ Step 1: Select one-tailed or two-tailed. & \\ One-tailed \\ Two-tailed & \end{tabular}