**Testing the Effectiveness of Echinacea on Rhinovirus Infections****Objective:**Rhino viruses are known to cause common colds. This exercise tests the effectiveness of echinacea in reducing rhinovirus infections. In a study, 42 out of 48 subjects treated with echinacea developed rhinovirus infections, while 93 out of 109 subjects in a placebo group developed the infections. We use a 0.01 significance level to evaluate if echinacea has an effect on rhinovirus infections. **Hypothesis Test:**Consider:- **First Sample:** Subjects treated with echinacea- **Second Sample:** Subjects treated with a placebo**Null and Alternative Hypotheses:**Choose the pair that correctly represents the hypotheses for this scenario:- **A.** \( H_0: p_1 \le p_2 \) \( H_1: p_1 \neq p_2 \)- **B.** \( H_0: p_1 = p_2 \) \( H_1: p_1 < p_2 \)- **C.** \( H_0: p_1 = p_2 \) \( H_1: p_1 > p_2 \)- **D.** \( H_0: p_1 \neq p_2 \) \( H_1: p_1 = p_2 \)- **E.** \( H_0: p_1 = p_2 \) \( H_1: p_1 \neq p_2 \)- **F.** \( H_0: p_1 \ge p_2 \) \( H_1: p_1 \neq p_2 \)**Identify the test statistic:**Calculate the Z-value of the test statistic and round to two decimal places:- **z =** (Round to two decimal places as needed)**Identify the P-value:**Calculate the P-value associated with the test statistic and round to three decimal places:- **P-value =** (Round to three decimal places as needed)This information outlines the necessary steps to statistically test whether echinacea is effective against rhinovirus infections, under the given conditions and significance level.

Name: **Testing the Effectiveness of Echinacea on Rhinovirus Infections****
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Description: **Testing the Effectiveness of Echinacea on Rhinovirus Infections****Objective:**Rhino viruses are known to cause common colds. This exercise tests the effectiveness of echinacea in reducing rhinovirus infections. In a study, 42 out of 48 subjects t

The provided information are: For subjects treated with Echinacea: x1=42n1=48 For placebo group:…

Math

Statistics

Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 42 of the 48 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 93 of the 109 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 SP2 H: P1 * P2 O B. Ho: P1 = P2 H,: P1 P2 O F. Ho: P1 2 P2 H;: P1 *P2 O D. Ho: P1 # P2 H: P1 = P2 Identify the test statistic. z= (Round to two decimal places as needed.) Identify the P-value. P-value =

Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 42 of the 48 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 93 of the 109 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 SP2 H: P1 * P2 O B. Ho: P1 = P2 H,: P1 P2 O F. Ho: P1 2 P2 H;: P1 *P2 O D. Ho: P1 # P2 H: P1 = P2 Identify the test statistic. z= (Round to two decimal places as needed.) Identify the P-value. P-value =

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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= Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 43 of the 49 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 92 of the 109 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? OA. 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. OB. Ho: P₁ P2 H₁: P₁ P2 ? O E. Ho: P₁ P2 H₁: P₁ P2 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 =…
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