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 = 0.05 level of significance?

Step 1: Set up the null and alternative hypotheses. H0: ____________________ H1: ____________________ This is a LEFT / Right / TWO-TAILED TEST (Circle One)

Step 2: What is the sample evidence? Compute p1^ and p2^: p1^ = = _________________; p2^ = = _____________________

Step 3: Requirements Check: The samples are obtained independently using simple random sampling n1p1^(1 - p1^) = ________________________. Is this 10? _____________ n2p2^(1 - p2^) = ________________________. Is this 10? _____________ Can you deduce that each sample taken represents less than 5% of its respective population? ______________ Step 4: Recall = _________ is the level of significance. Problem 1: 10 points Problem 2: 10 points Problem 3: 10 points TOTAL: 30 points SCORE:

Final Step: USING TECHNOLOGY: The "TI83/84 CALCULATOR" PROCEDURE STAT > TESTS Choose (6): "2-PropZTest" Display: p1 < p2 z = _________________(This is the TEST STATISTIC) p = ________________(This is the p-value) Conclusion: Since the p-value = ____________ is LESS THAN / GREATER THAN = 0.05, we REJECT / DO NOT REJECT