Question

opel do In randomized, double-blind clinical trials of a new vaccinerats 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, 114 of 665 subjects in the experimental group (group 1) experienced fever as a side effect. After the second dose, 71 of 546 of the subjects in the control group (group 2) experienced fever as a side effect. Does the evidence suggest that a higher proportion of subjects in group 1 experienced fever as a side effect than subjects in group 2 at the a=0.10 level of significance? Verify the model requirements. Select all that apply res sea jed pad A The samples are dependent B. The data come from a population that is normally distributed The sample size in less than 5% of the population size for each sample. MAI (1-2 10 and 2 (1-2) 210 The samples are independent B. The sample size is more than 5% of the population size for each sample, Determine the null and alternative hypotheses ts Ho PI = P2 HP1 P2 Find the test statistic for this hypothesis test (Round to two decimal places as needed) Enter your answer in the answer box and then click Check Answer
D. find the p score

E. Find the lower,upper bounds

Answer 1

Given,

$\small p_1 = \frac{114}{665}=0.1714$

P2 71 546 0.1300

we know that the test statistic is given by,

$\small z = \frac{(p_1 - p_2)}{ \sqrt{\frac{p_1(1-p_1)}{n_1} +\frac{p_2(1-p_2)}{n_2} }}$

$\small z = \frac{(0.1714 - 0.1300)}{ \sqrt{\frac{0.1714(1-0.1714)}{665} +\frac{0.1300(1-0.1300)}{546} }}$

$\small z = 1.9922$

The test statistic for the given hypothesis is,

1.99