Rhino 113 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. viruses typically cause common colds. In a test of the effectiveness of echinacea, 44 of the 51 subjects treated witHH group, 100 of the 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 = P₂ H₁: P₁ P₂ Identify the test statistic. za (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 OB. Ho: P2P₂ H₁: Dy #P₂ the significance level of a 0.01, so b. Test the claim by constructing an appropriate confidence interval The 99% confidence interval (Round to three decimal places as needed.) (₁-₂)< OE Ho: P P₂ H₁: Pg P₂ the null hypothesis. There OC. H₂: Pq SP₂ H₁: Py #P₂ OF Hg: Py P₂ H₂: Dy >P₂ sufficient evidence to support the claim that echinacea treatment has an effect. Time Remaining: 00:53:30 Next
Rhino 113 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. viruses typically cause common colds. In a test of the effectiveness of echinacea, 44 of the 51 subjects treated witHH group, 100 of the 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 = P₂ H₁: P₁ P₂ Identify the test statistic. za (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 OB. Ho: P2P₂ H₁: Dy #P₂ the significance level of a 0.01, so b. Test the claim by constructing an appropriate confidence interval The 99% confidence interval (Round to three decimal places as needed.) (₁-₂)< OE Ho: P P₂ H₁: Pg P₂ the null hypothesis. There OC. H₂: Pq SP₂ H₁: Py #P₂ OF Hg: Py P₂ H₂: Dy >P₂ sufficient evidence to support the claim that echinacea treatment has an effect. Time Remaining: 00:53:30 Next
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:-
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Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 44 of the 51 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 100 of the
113 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.
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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?
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OA. Ho: P₁ P₂
H₁: Pg #P₂
OD. Ho: P₁ = P₂
H₁: P₁ P₂
Identify the test statistic.
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(Round to two decimal places as needed)
Identify the P-value
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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.)
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Transcribed Image Text:Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 44 of the 51 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 100 of the
113 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.
2=0
(Round to two decimal places as needed.)
Identify the P-value.
2
P-value=
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
The P-value is
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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) <
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
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echinacea treatment has an effect.
c. Based on the results, does echinacea appear to have any effect on the infection rate?
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OA. 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 increases the infection rate
OC. Echinacea does appear to have a significant effect on the infection rate. There is evidence that it lowers the infection rate
OD. The results are inconclusive.
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