Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 44 of the 50 subjects treated with echinacea developed rhinovirus infections. In a placebo group. of the 115 subjects developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on rhinovirus infections. 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 A. Ho: P1Z P2 O B. Ho: P1 = P2 O C. Ho: P1 SP2 H:P, #P2 H:Pq P2 O E. Ho: P1 =P2 O D. Ho: P1 P2 H:P =P2 H,: P, #P2 Identify the test statistic. (Round to two decimal places as needed.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Chapter11: Data Analysis And Probability
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Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 44 of the 50 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 98
of the 115 subjects developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on rhinovirus infections.
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 S 2
Hi:Pq #P2
O A. Ho: P1 ZP2
O B. Ho: P1 =P2
Hy:P, #P2
H4:P, <P2
O F. Ho:P1 =P2
O E. Ho: P1 =P2
H,:Pq # P2
O D. Ho: P1 #P2
Hq:P, =P2
Identify the test statistic.
z=
(Round to two decimal places as needed.)
Transcribed Image Text:Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 44 of the 50 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 98 of the 115 subjects developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on rhinovirus infections. 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 S 2 Hi:Pq #P2 O A. Ho: P1 ZP2 O B. Ho: P1 =P2 Hy:P, #P2 H4:P, <P2 O F. Ho:P1 =P2 O E. Ho: P1 =P2 H,:Pq # P2 O D. Ho: P1 #P2 Hq:P, =P2 Identify the test statistic. z= (Round to two decimal places as needed.)
Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 44 of the 50 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 98
of the 115 subjects developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on rhinovirus infections.
P-value =|
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
The P-value is
V the significance level of a = 0.01, so
V theull hypothesis. There
V sufficient evidence to support the claim that echinacea treatment has an
effect.
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.
Transcribed Image Text:Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 44 of the 50 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 98 of the 115 subjects developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on rhinovirus infections. P-value =| (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is V the significance level of a = 0.01, so V theull hypothesis. There V sufficient evidence to support the claim that echinacea treatment has an effect. 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.
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