Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 36 of the 42 subjects treated with echinacea developed rhinovirus infections. In a placebo group,97 of the 110 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 andalternative hypotheses for the hypothesis test?O A. Ho: P1 # P2H1: P1 = P2O B. Ho: P1 = P2H: P1 #P2OC. Ho: P1 sP2H1: P, # P2O D. Ho: P1 2P2H1: P, #P2O E. Ho: P1 = P2H,: P, P2Identify the test statistic.Z=(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 isV the significance level of a= 0.01, sothe null hypothesis. Theresufficient evidence to support the claim that echinacea treatment hasan effectb. Test the claim by constructing an appropriate confidence interval.The 99% confidence interval is< (P1 - P2) What is the conclusion based on the confidence interval?Because the confidence interval limits0, thereappear to be a significant difference between the two proportions. Thereevidence to support theclaim that echinacea treatment has an effect.c. Based on the results, does echinacea appear to have any effect on the infection rate?O A. Echinacea does not appear to have a significant effect on the infection rate.O B. Echinacea does appear to have a significant effect on the infection rate. There is evidence that it increases the infection rate.OC. Echinacea does appear to have a significant effect on the infection rate. There is evidence that it lowers the infection rate.O D. The results are inconclusive.

Name: Rhino viruses typically cause common colds. In a test of the effectiv
Uploaded: 2024-03-20T07:07:00.000Z
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Description: Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 36 of the 42 subjects treated with echinacea developed rhinovirus infections. In a placebo group,97 of the 110 subjects developed rhinovirus infections. Use a 0

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hino viruses typically cause common colds. In a test of the effectiveness of echinacea, 36 of the 42 subjects treated with echinacea developed rhinovirus infections. In a placebo gr 7 of the 110 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 elow. Test the claim using a hypothesis test. onsider 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 ternative hypotheses for the hypothesis test? DA. Ho: P1 #P2 O B. Ho: P1 = P2 H:P, #P2 OC. Ho: P1 sP2 H:P, #P2 H1: P, = P2 O D. Ho: P1 2 P2 H: P, #P2 O E. Ho: P1 = P2 H: Pq P2 lentify the test statistic.