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, 111 of 670 subjects in the experimental group​ (group 1) experienced drowsiness as a side effect. After the second​ dose, 68 of 551 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 α=0.05 level of​ significance? a. Find the test statistic for this hypothesis test. Round to two decimal places as needed.

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.