Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 43 of the 49 subjects treated with echinacea developed rhinovirus infections. In a placebo group,76 of the 93 subjects developed rhinovirus infections. Use a 0.05significance level to test the claim that echinacea has an effect on rhinovirus infections. 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? A. H0: p1≤p2 H1: p1≠p2 B. H0: p1=p2 H1: p1 C. H0: p1=p2 H1: p1≠p2 D. H0: p1≥p2 H1: p1≠p2 E. H0: p1=p2 H1: p1>p2 F. H0: p1≠p2 H1: p1=p2 Identify the test statisti z = (Round to two decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is greater than the significance level of α=0.05, so fail to rejec the null hypothesis. There is not sufficient evidence to support the claim that echinacea treatment has an effect. b. Test the claim by constructing an appropriate confidence interval. The 95% confidence interval is ----------- (Round to three decimal places as needed.) find the test statistic and the 95%confidence interval

Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 43 of the 49 subjects treated with echinacea developed rhinovirus infections. In a placebo group,76 of the...

Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 43 of the 49 subjects treated with echinacea developed rhinovirus infections. In a placebo group,76 of the 93 subjects developed rhinovirus infections. Use a 0.05
significance level to test the claim that echinacea has an effect on rhinovirus infections.

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?

H0:

p1≤p2

H1:

p1≠p2

H0:

p1=p2

H1:

p1<>

H0:

p1=p2

H1:

p1≠p2

H0:

p1≥p2

H1:

p1≠p2

H0:

p1=p2

H1:

p1>p2

H0:

p1≠p2

H1:

p1=p2

Identify the test statisti

z =

(Round to two decimal places as needed.)

What is the conclusion based on the hypothesis test?

The P-value is

greater than the significance level of α=0.05, so fail to rejec the null hypothesis. There is not sufficient evidence to support the claim that echinacea treatment has an effect.

b. Test the claim by constructing an appropriate confidence interval.

The 95% confidence interval is -----------<><-------->

(Round to three decimal places as needed.)

find the test statistic and the 95%confidence interval

Jun 08, 2022

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Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 43 of the 49 subjects treated with echinacea developed rhinovirus infections. In a placebo group,76 of the...

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Rhino viruses typically cause common colds. In a test of the effectiveness of​ echinacea, 43 of the 49 subjects treated with echinacea developed rhinovirus infections. In a placebo​ group,76 of the...

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Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 43 of the 49 subjects treated with echinacea developed rhinovirus infections. In a placebo group,76 of the...