Rhino Viruses Typically Cause Common Colds In A Test Of The Effectiveness Of Echinacea 35 Of The 40 Subjects Treated W 1 (30.17 KiB) Viewed 52 times
Rhino Viruses Typically Cause Common Colds In A Test Of The Effectiveness Of Echinacea 35 Of The 40 Subjects Treated W 2 (2.94 KiB) Viewed 52 times
Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 35 of the 40 subjects treated with echinacea developed thinovirus infections. In a placebo group, 89 of the 104 subjects developed thinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on thinovirus 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 H₂: P1 P₂ H₁: P1 P2 OD. H₂ PZP₂ H₂; P P₂ Identify the test statistic (Round to two decimal places as needed) Identify the P-value OB. Hg: P P₂ H₂: PyPz 0, there OE H₂ P P₂ H₁: P P₂ 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 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? Because the confidence interval limits c. Based on the results, does echinacea appear to have any effect on the infection rate? A. Echinacea does not appear to have a significant effect on the infection rate OB. Echinacea does appear to have a significant effect on the infection rate. There is evidence that it lowers the infection rate the null hypothesis. There OC. Ho: PjSP₂ H₁: P P₂ appear to be a significant difference between the two proportions. There OF H₂: P1 P₂ H₁: P₁ P₂ sufficient evidence to support the claim that echinacea treatment has an effect. evidence to support the claim that echinacea treatment has an effect.
OC. Echinacea does appear to have a significant effect on the infection rate. There is evidence that it increases the infection rate. OD The results are inconclusive
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