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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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?
Step 1: Set up the null and alternative hypotheses.
This is a LEFT/ Right / TWO-TAILED TEST (Circle One)
Step 2: What is the sample evidence? Compute p,^ and p2^:
X1
x2
P1^ =
n1
¿Þ2^ =
n2
Step 3: Requirements Check:
The samples are obtained independently using simple random sampling
n;p;"(1-pi^) =.
nzp2^(1- p2^) =
Can you deduce that each sample taken represents less than 5% of its respective
population?
Is this 2 10?
%3D
. Is this 2 10?
%3D
Step 4: Recall a =
is the level of significance.
Transcribed Image Text: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? Step 1: Set up the null and alternative hypotheses. This is a LEFT/ Right / TWO-TAILED TEST (Circle One) Step 2: What is the sample evidence? Compute p,^ and p2^: X1 x2 P1^ = n1 ¿Þ2^ = n2 Step 3: Requirements Check: The samples are obtained independently using simple random sampling n;p;"(1-pi^) =. nzp2^(1- p2^) = Can you deduce that each sample taken represents less than 5% of its respective population? Is this 2 10? %3D . Is this 2 10? %3D Step 4: Recall a = is the level of significance.
Final Step: USING TECHNOLOGY: The "TI83/84 CALCULATOR" PROCEDURE
STAT > TESTS
Choose (6): “2-PropZTest"
Display:
P1 < P2
_(This is the TEST STATISTIC)
p =.
_(This is the p-value)
Conclusion: Since the p-value =
is LESS THAN/ GREATER THAN a = 0.05, we
REJECT / DO NOT REJECT Ho.
Transcribed Image Text:Final Step: USING TECHNOLOGY: The "TI83/84 CALCULATOR" PROCEDURE STAT > TESTS Choose (6): “2-PropZTest" Display: P1 < P2 _(This is the TEST STATISTIC) p =. _(This is the p-value) Conclusion: Since the p-value = is LESS THAN/ GREATER THAN a = 0.05, we REJECT / DO NOT REJECT Ho.
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