Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 3333of the 3939 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 7676 of the 9393 subjects developed rhinovirus infections. Use a 0.050.05 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? Identify the test statistics Identify the P-value What is the conclusion based on the hypothesis test? The P-value is greater than/less than the significance level, so fail to reject/reject the null hypothesis. There is/is not sufficient evidence to support the claim that echinacea treatment has an effect. b. Test claim by constructing an appropriate confidence level The 95% confidence interval is (BLANK) < (P1-P2) < (BLANK) What is the conclusion based on the confidence interval? Because the confidence interval limits include/do not include 0, there does not/does appear to be a significant difference between two proportions. There is/is not evidence to support the claim that echinacea treatment has an effect. c. Based on the results, does echinacea appear to have any effect on the infection rate?

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Description: Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 3333of the 3939 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 7676 of the 9393 subjects developed rhinovirus infections.

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Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 3333of the 3939 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 7676 of the 9393 subjects developed rhinovirus infections. Use a

0.050.05 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?

Identify the test statistics

Identify the P-value

What is the conclusion based on the hypothesis test?

The P-value is greater than/less than the significance level, so fail to reject/reject the null hypothesis. There is/is not sufficient evidence to support the claim that echinacea treatment has an effect.

b. Test claim by constructing an appropriate confidence level

The 95% confidence interval is (BLANK) < (P1-P2) < (BLANK)

What is the conclusion based on the confidence interval?

Because the confidence interval limits include/do not include 0, there does not/does appear to be a significant difference between two proportions. There is/is not evidence to support the claim that echinacea treatment has an effect.

c. Based on the results, does echinacea appear to have any effect on the infection rate?

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