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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, 81 of the 95 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? OC. Ho: P1 = P2 O B. Ho P1 SP2 O A. Ho: P1 P2 H, P, = P2 H, P> P2 H,: P, #P2 OF. Ho P1 = P2 O E. Ho P1 2P2 D. Ho P1 = P2 H,: P, P2 H,: P,

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, 81 of the 95 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? OC. Ho: P1 = P2 O B. Ho P1 SP2 O A. Ho: P1 P2 H, P, = P2 H, P> P2 H,: P, #P2 OF. Ho P1 = P2 O E. Ho P1 2P2 D. Ho P1 = P2 H,: P, P2 H,: P,

MATLAB: An Introduction with Applications
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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identify test statistic

identify p-value

What is the confidence interval of p1-p2

### Educational Content: Hypothesis Testing for Echinacea's Effectiveness #### Background Rhino viruses are known to cause common colds. A study was conducted to evaluate the effectiveness of echinacea in preventing rhinovirus infections. Of the 41 subjects treated with echinacea, 34 developed rhinovirus infections. In contrast, within a placebo group of 95 subjects, 81 developed rhinovirus infections. This analysis is performed at a 0.05 significance level to evaluate whether echinacea has a statistically significant effect on rhinovirus infection rates. #### Hypothesis Testing ##### Objective Test the claim regarding the effectiveness of echinacea using a hypothesis test. ##### Methodology Consider the first sample (treated with echinacea) and the second sample (treated with placebo). ##### Hypotheses Select the appropriate null and alternative hypotheses for this test: - **Option D (Correct):** - \( H_0: p_1 = p_2 \) (The proportion of infections is the same in both groups) - \( H_1: p_1 \neq p_2 \) (The proportion of infections differs between the groups) ##### Steps 1. **Identify the Test Statistic:** - **Calculate the z-value** for comparing the proportions of the two independent samples. - **Round the test statistic to two decimal places as needed.** This setup allows for the evaluation of whether echinacea significantly alters the rate of rhinovirus infection compared to a placebo.
Transcribed Image Text:### Educational Content: Hypothesis Testing for Echinacea's Effectiveness #### Background Rhino viruses are known to cause common colds. A study was conducted to evaluate the effectiveness of echinacea in preventing rhinovirus infections. Of the 41 subjects treated with echinacea, 34 developed rhinovirus infections. In contrast, within a placebo group of 95 subjects, 81 developed rhinovirus infections. This analysis is performed at a 0.05 significance level to evaluate whether echinacea has a statistically significant effect on rhinovirus infection rates. #### Hypothesis Testing ##### Objective Test the claim regarding the effectiveness of echinacea using a hypothesis test. ##### Methodology Consider the first sample (treated with echinacea) and the second sample (treated with placebo). ##### Hypotheses Select the appropriate null and alternative hypotheses for this test: - **Option D (Correct):** - \( H_0: p_1 = p_2 \) (The proportion of infections is the same in both groups) - \( H_1: p_1 \neq p_2 \) (The proportion of infections differs between the groups) ##### Steps 1. **Identify the Test Statistic:** - **Calculate the z-value** for comparing the proportions of the two independent samples. - **Round the test statistic to two decimal places as needed.** This setup allows for the evaluation of whether echinacea significantly alters the rate of rhinovirus infection compared to a placebo.
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