In randomized, double-blind clinical trials of a new vaccine, infants were rando

Question

In randomized, double-blind clinical trials of a new vaccine, infants 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, 133 of 461 subjects in the experimental group (group 1) experienced drowsiness as a side effect. After the second dose, 34 of 85 of the subjects in the control group (group 2) experienced drowsiness as a side effect. Does the evidence suggest that a different proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2 at the = 0.05 level of significance?

Determine the null and alternative hypotheses. Choose the correct answer below (where pi = population proportion).

A.H0: pi1 - pi2 = 0 versus H1: pi1 - pi2 > 0 B.H0: pi1 = 0 versus H1: pi1 0 C.H0: pi1 - pi2 = 0 versus H1: pi1 - pi2 < 0 D.H0: pi1 - pi2 = 0 versus H1: pi1 - pi2 0

Explanation / Answer

pi1 = 133/461 = 0288, pi2 = 34/85 = 0.4

option C is right answer

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