Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 43 of the 50 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 87 of the 104 subjects developed rhinovirus infections. 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 SP₂ 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) < OB. Ho: P1 = P₂ H₁: P₁ P₂ OE. Ho: P₁ P₂ H₁: P₁ P₂ the null hypothesis. There C. Ho: P₁ P₂ H₁: P₁ P₂ OF. Ho: P₁ P₂ H₁: P₁ *P₂ sufficient evidence to support the claim that echinacea treatment has an effect.
Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 43 of the 50 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 87 of the 104 subjects developed rhinovirus infections. 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 SP₂ 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) < OB. Ho: P1 = P₂ H₁: P₁ P₂ OE. Ho: P₁ P₂ H₁: P₁ P₂ the null hypothesis. There C. Ho: P₁ P₂ H₁: P₁ P₂ OF. Ho: P₁ P₂ H₁: P₁ *P₂ sufficient evidence to support the claim that echinacea treatment has an effect.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Related questions
Question
Transcribed Image Text:What is the conclusion based on the confidence interval?
Because the confidence interval limits
0, there
appear to be a significant difference between the two proportions. There
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.
B.
Echinacea does appear to have a significant effect on the infection rate. There is evidence that it increases the infection rate.
O C. Echinacea does not appear to have a significant effect on the infection rate.
OD. The results are inconclusive.
evidence to support the claim that echinacea treatment has an effect.
Transcribed Image Text:Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 43 of the 50 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 87 of the 104 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?
O A. Ho: P₁ #P2
H₁: P₁ =P₂
O D. Ho: P₁ ≤P2
H₁: P₁ P2
Identify the test statistic.
Z=
(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 α = 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.)
OB. Ho: P₁ = P2
H₁: P₁ P2
O E. Ho: P₁ = P2
H₁: P₁ P2
the null hypothesis. There
OC. Ho: P₁ P2
H₁: P₁ P₂
OF. Ho: P₁ 2P2
H₁: P₁ P₂
sufficient evidence to support the claim that echinacea treatment has an effect.
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