Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 35 of the 42 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 86 of the 100 subjects developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on rhinovirus infections. Complete parts (a) through (c) below. (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? V the null hypothesis. There V sufficient evidence to support the claim that The P-value is V the significance level of a = 0.01, so echinacea treatment has an effect. is not b. Test the clainm by constructing an appropriate confidence interval. is The 99% confidence interval is <(P1-P2)

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Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 35 of the 42 subjects treated with echinacea developed rhinovirus infections. In
a placebo group, 86 of the 100 subjects developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on rhinovirus
infections. Complete parts (a) through (c) below.
a. Test the claim using a hypothesis test.
Consider the first sample to be the sample of subjects treated with echinacea and the second sample to be the sample of subjects treated with a placebo. What are
the null and alternative hypotheses for the hypothesis test?
O A. Ho P1= P2
H P1 <P2
O B. Ho: P1 = P2
H P, # P2
O C. Ho P1 P2
H1: P1 P2
O D. Ho P12P2
H P1 #P2
O E. Ho P1=P2
H P> P2
OF. Ho: P1SP2
H, P1 #P2
Identify the test statistic.
(Round to two decimal places as needed.).
Identify the P-value.
Transcribed Image Text:Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 35 of the 42 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 86 of the 100 subjects developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on rhinovirus infections. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of subjects treated with echinacea and the second sample to be the sample of subjects treated with a placebo. What are the null and alternative hypotheses for the hypothesis test? O A. Ho P1= P2 H P1 <P2 O B. Ho: P1 = P2 H P, # P2 O C. Ho P1 P2 H1: P1 P2 O D. Ho P12P2 H P1 #P2 O E. Ho P1=P2 H P> P2 OF. Ho: P1SP2 H, P1 #P2 Identify the test statistic. (Round to two decimal places as needed.). Identify the P-value.
Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 35 of the 42 subjects treated with echinacea developed rhinovirus infections. In
a placebo group, 86 of the 100 subjects developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on rhinovirus
infections. Complete parts (a) through (c) below.
(Round to two decimal places as needed.)
Identify the P-value.
P-value =
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
The P-value is
V the significance level of a = 0.01, so
V the null hypothesis. There
V sufficient evidence to support the claim that
echinacea treatment has an effect.
is not
b. Test the clainm by constructing an appropriate confidence interval.
is
The 99% confidence interval is <(P1-P2) <U
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
Transcribed Image Text:Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 35 of the 42 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 86 of the 100 subjects developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on rhinovirus infections. Complete parts (a) through (c) below. (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is V the significance level of a = 0.01, so V the null hypothesis. There V sufficient evidence to support the claim that echinacea treatment has an effect. is not b. Test the clainm by constructing an appropriate confidence interval. is The 99% confidence interval is <(P1-P2) <U (Round to three decimal places as needed.) What is the conclusion based on the confidence interval?
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