**Hypothesis Testing for Echinacea Efficacy**Rhinoviruses 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, 95 of the 111 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?- **A.** - \(H_0: p_1 \neq p_2\) - \(H_1: p_1 = p_2\)- **B.** - \(H_0: p_1 \geq p_2\) - \(H_1: p_1 < p_2\)- **C.** - \(H_0: p_1 = p_2\) - \(H_1: p_1 \neq p_2\)- **D.** - \(H_0: p_1 = p_2\) - \(H_1: p_1 > p_2\)- **E.** - \(H_0: p_1 \leq p_2\) - \(H_1: p_1 > p_2\)- **F.** - \(H_0: p_1 > p_2\) - \(H_1: p_1 \leq p_2\)

We have given that, X1 = 42, N1 = 48 and X2 = 95, N2 = 111 Significance level = 0.05 Then, Pooled proportion P = X1 + X2 /N1+N2 = 42+95/48+111 = 0.8616

Answered: Rhino viruses typically cause common…

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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