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≤p2H1:p1≠p2 B.H0:p1=p2H1:p1<p2 C.H0:p1=p2H1:p1≠p2 D.H0:p1≥p2H1:p1≠p2 E.H0:p1=p2H1:p1>p2 F.H0:p1≠p2H1:p1=p2 Identify the test statistiz = (Round to two decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value isgreater 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 -----------<p1−p2<-------- here.(Round to three decimal places as needed.) find the test statistic and the 95%confidence interval

Given : x1= 43.0 n1= 49 x2= 76.0 n2= 93 significance level, 0.05

Answered: The 95% confidence interval is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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<p2

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 -----------<p1−p2<-------- here.

(Round to three decimal places as needed.)

find the test statistic and the 95%confidence interval

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