c. Based on the results, does echinacea appear to have any effect on the infection rate? O A. Echinacea does appear to have a significant effect on the infection rate. There is evidence that it lowers the infection rate. OB. 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 increases the infection rate. O D. The results are inconclusive. Click to select your answer(s).

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c. Based on the results, does echinacea appear to have any effect on the infection rate?
O A. Echinacea does appear to have a significant effect on the infection rate. There is evidence that it lowers the infection rate.
O B. Echinacea does not appear to have a significant effect on the infection rate.
O C. Echinacea does appear to have a significant effect on the infection rate. There is evidence that it increases the infection rate.
O D. The results are inconclusive.
Click to select your answer(s).
Transcribed Image Text:c. Based on the results, does echinacea appear to have any effect on the infection rate? O A. Echinacea does appear to have a significant effect on the infection rate. There is evidence that it lowers the infection rate. O B. Echinacea does not appear to have a significant effect on the infection rate. O C. Echinacea does appear to have a significant effect on the infection rate. There is evidence that it increases the infection rate. O D. The results are inconclusive. Click to select your answer(s).
Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 37 of the 42 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 84 of the 101 subjects developed rhinovirus
a 0.05 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?
O C. Ho: P1 = P2
H,: P1 # P2
B. Ho: P1 2 P2
O A. Ho: P1 #P2
H:P, = P2
H4: P1 # P2
O D. Ho: P1 = P2
H1:P1 <P2
O E. Ho: P1 Sp2
H: P, #P2
O F. Ho: P1 = P2
H: P1 > P2
Identify the test statistic.
(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 significance level of a = 0.05, so
the null hypothesis. There
sufficient evidence to support the claim that echinacea treatment has an effect.
The P-value is
%3D
b. Test the claim by constructing an appropriate confidence interval.
The 95% confidence interval is <
(p, - P2) <U-
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
Click to select your answer(s).
Transcribed Image Text:Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 37 of the 42 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 84 of the 101 subjects developed rhinovirus a 0.05 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? O C. Ho: P1 = P2 H,: P1 # P2 B. Ho: P1 2 P2 O A. Ho: P1 #P2 H:P, = P2 H4: P1 # P2 O D. Ho: P1 = P2 H1:P1 <P2 O E. Ho: P1 Sp2 H: P, #P2 O F. Ho: P1 = P2 H: P1 > P2 Identify the test statistic. (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 significance level of a = 0.05, so the null hypothesis. There sufficient evidence to support the claim that echinacea treatment has an effect. The P-value is %3D b. Test the claim by constructing an appropriate confidence interval. The 95% confidence interval is < (p, - P2) <U- (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Click to select your answer(s).
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