In a trial designed to test the effectiveness of a drug in preventing heart disease, 12,362 male physicians were treated with the drug and 12,365 male physicians were given placebos. Among the subjects in the drug treatment group, 134 experienced myocardial infarctions (heart attacks). Among the subjects given placebos, 305 experienced myocardial infarctions. Use a 0.05 significance level to test the claim that the drug has no effect on myocardial infarctions. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. c. Based on the results, does the drug appear to be effective? a. Let the physicians that received the drug be sample 1 and let physicians that received the placebo be sample 2. What are the null and alternative hypotheses? O A. Ho: P1 =P2 H: P1 P2 O D. Ho: P1 =P2 H: P1 P2 O E. Ho: P1 = P2 H: P > P2 OF. Ho: P1 +P2 H: P =P2 Identify the test statistic. O(Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.) What is the conclusion for this test? Since the P-value is V the significance level a, V the null hypothesis.

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In a trial designed to test the effectiveness of a drug in preventing heart disease, 12,362 male physicians were treated with the drug and 12,365 male physicians were given placebos. Among the subjects in the drug treatment group, 134
experienced myocardial infarctions (heart attacks). Among the subjects given placebos, 305 experienced myocardial infarctions. Use a 0.05 significance level to test the claim that the drug has no effect on myocardial infarctions.
a. Test the claim using a hypothesis test.
b. Test the claim by constructing an appropriate confidence interval.
c. Based on the results, does the drug appear to be effective?
a. Let the physicians that received the drug be sample 1 and let physicians that received the placebo be sample 2. What are the null and alternative hypotheses?
О А. Но: Р1 - P2
H1: P1 <P2
В. Но: Р1 2 Р2
H1: P1 <P2
c. Ho: P1 SP2
H1:P1 > P2
O E. Ho: P1 = P2
O F. Ho: P1 # P2
H1: P1 = P2
D. Ho: P1 = P2
H1: P1 # P2
4:P1>P2
Identify the test statistic.
(Round to two decimal places as needed.)
Identify the P-value.
(Round to three decimal places as needed.)
What is the conclusion for this test?
Since the P-value is
the significance level a,
the null hypothesis.
Transcribed Image Text:In a trial designed to test the effectiveness of a drug in preventing heart disease, 12,362 male physicians were treated with the drug and 12,365 male physicians were given placebos. Among the subjects in the drug treatment group, 134 experienced myocardial infarctions (heart attacks). Among the subjects given placebos, 305 experienced myocardial infarctions. Use a 0.05 significance level to test the claim that the drug has no effect on myocardial infarctions. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. c. Based on the results, does the drug appear to be effective? a. Let the physicians that received the drug be sample 1 and let physicians that received the placebo be sample 2. What are the null and alternative hypotheses? О А. Но: Р1 - P2 H1: P1 <P2 В. Но: Р1 2 Р2 H1: P1 <P2 c. Ho: P1 SP2 H1:P1 > P2 O E. Ho: P1 = P2 O F. Ho: P1 # P2 H1: P1 = P2 D. Ho: P1 = P2 H1: P1 # P2 4:P1>P2 Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.) What is the conclusion for this test? Since the P-value is the significance level a, the null hypothesis.
b. Use a 0.05 significance level to construct a confidence interval.
D< (P1 - P2) <O
(Round to three decimal places as needed.)
What is the conclusion for the confidence interval?
Since the confidence interval
zero, there
to be a difference between the proportions.
c. Based on the results, does the drug appear to be effective?
According to the hypothesis test, there is
evidence to support the claim that the incidence of myocardial infarctions is different for physicians using the drug, so the drug
to be effective. According to the confidence
interval, there is
evidence to support the claim that the incidence of myocardial infarctions is different for physicians using the drug, so the drug
to be effective.
Transcribed Image Text:b. Use a 0.05 significance level to construct a confidence interval. D< (P1 - P2) <O (Round to three decimal places as needed.) What is the conclusion for the confidence interval? Since the confidence interval zero, there to be a difference between the proportions. c. Based on the results, does the drug appear to be effective? According to the hypothesis test, there is evidence to support the claim that the incidence of myocardial infarctions is different for physicians using the drug, so the drug to be effective. According to the confidence interval, there is evidence to support the claim that the incidence of myocardial infarctions is different for physicians using the drug, so the drug to be effective.
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