Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 34 of the 41 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 83 of the 97 subjects developed rhinovirus infections. Use 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 B. Ho: P1 SP2 H: P, #P2 OC. Ho: P1 = P2 H4:P1 < P2 O A. Ho P1 P2 H: P1 P2 O D. Ho: P1 2 P2 H4: P, #P2 O E. Ho: P1 #P2 H,: P, = P2 F. Ho: P1 = P2 H: P, #P2 Identify the test statistic. "Round to two decimal places as needed.)
Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 34 of the 41 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 83 of the 97 subjects developed rhinovirus infections. Use 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 B. Ho: P1 SP2 H: P, #P2 OC. Ho: P1 = P2 H4:P1 < P2 O A. Ho P1 P2 H: P1 P2 O D. Ho: P1 2 P2 H4: P, #P2 O E. Ho: P1 #P2 H,: P, = P2 F. Ho: P1 = P2 H: P, #P2 Identify the test statistic. "Round to two decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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please help me also find the p value and what the conclusion would be. Thank you!

Transcribed Image Text:### Hypothesis Testing: Echinacea and Rhinovirus Infections
**Background:**
Rhino viruses typically cause common colds. This study examines the effectiveness of echinacea in preventing rhinovirus infections. In a test of the effectiveness of echinacea, the following results were observed:
- Echinacea group: 34 of 41 subjects developed rhinovirus infections.
- Placebo group: 83 of 97 subjects developed rhinovirus infections.
Using a significance level of 0.05, we will test the claim that echinacea has an effect on rhinovirus infections.
**Hypothesis Test:**
We need to determine the null and alternative hypotheses for the test. The first sample is the group treated with echinacea, and the second sample is the placebo group.
- **Null Hypothesis (\(H_0\)):** \( p_1 = p_2 \)
- **Alternative Hypothesis (\(H_1\)):** \( p_1 \neq p_2 \)
In this scenario, the correct choice is F, as indicated in the image.
**Identify the Test Statistic:**
Calculate the test statistic \( z \) using the formula for the difference in proportions. It will be rounded to two decimal places as needed, but the image does not provide the exact z-value in the blank space.
This setup allows the evaluation of whether there is a statistically significant difference in the infection rates between the echinacea and placebo groups, based on the observed data.
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