Two - ProportionsaeThe drug Prevnar is a vaccine meant to prevent certain types of bacterial meningitis. It is typicallyadministered to infants starting around 2 months of age. In randomized, double-blind clinical trials ofPrevnar, infants were randomly divided into two groups. Subjects insubjects in group1.1 received Prevnar, whilegroup2 received a control vaccine. After the second dose, 137 of 452 subjects in theexperimentalsubjects in the control group (group 2) experienced drowsiness as a side effect. Does the evidence suggestthat a lower proportion of subjects in group 1 experienced drowsiness as a side effect than subjects ingroup 2 at the a = 0.05 level of significance?group (group 1) experienced drowsiness as a side effect. After the second dose, 31 of 99X,132231n91.0-05

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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?

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Introduction:

Denote π1, π2 as the true proportions of infants feeling drowsiness after the second dose of Prevnar and the control vaccine respectively. The hypotheses are:

H0: π1 = π2 vs, H1: π1 < π2.

In alternative form, H0: π1 &nda...

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