Math  /  Data & Statistics

QuestionInIs question: 1 point(S) possible
Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 39 of the 45 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 89 of the 105 subjects developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on rinovirus infections. Complete parts (a) through (c) below.
Identify the P -value. P -value =0.764=0.764 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P -value is \square greater than the significance level of α=0.01\alpha=0.01, so reject \square 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 99%99 \% confidence interval is 0.143<(p1p2)<0.181-0.143<\left(p_{1}-p_{2}\right)<0.181. (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Because the confidence interval limits \square 0 , there \square appear to be a significant difference between the two proportions. There \square 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? A. Echinacea does appear to have a significant effect on the infection rate. There is evidence that it increases the infection rate. B. Echinacea does not appear to have a significant effect on the infection rate. C. Echinacea does appear to have a significant effect on the infection rate. There is evidence that it lowers the infection rate. D. The results are inconclusive. Submit quiz

Studdy Solution
Draw a conclusion based on the hypothesis test:
- Based on the P-value, we do not reject the null hypothesis. - Based on the confidence interval, there is no significant difference.
Conclusion: Echinacea does not appear to have a significant effect on the infection rate.
The answers to the questions are as follows:
- The P-value is greater than the significance level of α=0.01\alpha=0.01, so we do not reject the null hypothesis. There is not sufficient evidence to support the claim that echinacea treatment has an effect. - Because the confidence interval limits include 0, there does not appear to be a significant difference between the two proportions. There is no evidence to support the claim that echinacea treatment has an effect. - Based on the results, the correct choice is B: Echinacea does not appear to have a significant effect on the infection rate.

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