(Solved): In randomized, double-blind clinical trials of a new vaccine, rats were randomly divided into t ...

In randomized, double-blind clinical trials of a new vaccine, rats were randomly divided into two groups. Subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. After the second dose, 100 of 742 subjects in the experimental group (group 1) experienced drowsiness as a side effect. After the second dose, 57 of 623 of the subjects in the control group (group 2) experienced drowsiness as a side effect. Does the evidence suggest that a higher proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2 at the $?=0.05$ level of significance? 3. The sample size is less than $5\%$ of the population size for each sample. The sample size is more than $5\%$ of the population size for each sample. 1. ${\mathrm{n}}_1{\hat{p}}_1\left(1?{\hat{p}}_1\right)?10$ and $n_2{\hat{p}}_2\left(1?{\hat{p}}_2\right)?10$ E. The data come from a population that is normally distributed. F. The samples are dependent. Determine the null and alternative hypotheses $\begin{array}{l}{H}_0:p_1={}^7{p}_2\\ H_1:p_1=p_2\end{array}$ Find the test statistic for this hypothesis test. (Round to two decimal places as needed.)