Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 44 of the 51 subjects treated w

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Rhino Viruses Typically Cause Common Colds In A Test Of The Effectiveness Of Echinacea 44 Of The 51 Subjects Treated W 1 (109.46 KiB) Viewed 68 times

Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 44 of the 51 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 82 of the 99 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? OA. Ho: P₁ P₂ H₁: P₁ = P₂ OD. Ho: P₁ P₂ H₁: P₁ P₂ Identify the test statistic. z=0 (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 the significance level of a = 0.01, so b. Test the claim by constructing an appropriate confidence interval. The 99% confidence interval is < (P₁-P₂) <- (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? OB. Ho: P₁ P₂ H₁: Pq #P₂ OE. Ho: P₁ P₂ H₁: P₁ P₂ (**) Because the confidence interval limits ▼0, there c. Based on the results, does echinacea appear to have any effect on the infection rate? ▼the null hypothesis. There sufficient evidence to support the claim that echinacea treatment has an effect. appear to be a significant difference between the two proportions. There OA. Echinacea does appear to have a significant effect on the infection rate. There is evidence that it increases the infection rate. OB. Echinacea does not appear to have a significant effect on the infection rate. OC. Ho: P₁ ZP₂ H₁: P₁ P₂ OC. Echinacea does appear to have a significant effect on the infection rate. There is evidence that it lowers the infection rate. OD. The results are inconclusive. OF. Ho: P1 SP₂ H₁: P₁ P₂ evidence to support the claim that echinacea treatment has an effect.