Question

Asked Nov 25, 2019

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Two - Proportions

1. The drug Prevnar is a vaccine meant to prevent certain types of bacterial meningitis. It is typically

administered to infants starting around 2 months of age. In randomized, double-blind clinical trials of

Prevnar, infants were randomly divided into two groups. Subjects in group 1 received Prevnar, while

subjects in group 2 received a control vaccine. After the second dose, 137 of 452 subjects in the

experimental group (group 1) experienced drowsiness as a side effect. After the second dose, 31 of 99

subjects in the control group (group 2) experienced drowsiness as a side effect. Does the evidence suggest

that a lower proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in

group 2 at the a = 0.05 level of significance?

**Introduction:**

Denote *π*1, *π*2 as the true proportions of infants feeling drowsiness after the second dose of Prevnar and the control vaccine respectively. The hypotheses are:

H0: *π*1 = *π*2 vs, H1: *π*1 < *π*2.

In alternative form, H0: *π*1 &nda...

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