Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 33 of the 38 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 76 of the 90 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. $H_0: p_1 = p_2$ $H_1: p_1 \ne p_2$ OD. $H_0: p_1 = p_2$ $H_1: p_1 \ne p_2$ OB. $H_0: p_1 \ge p_2$ $H_1: p_1 < p_2$ OE. $H_0: p_1 = p_2$ $H_1: p_1 < p_2$ OC. $H_0: p_1 = p_2$ $H_1: p_1 > p_2$ OF. $H_0: p_1 \le p_2$ $H_1: p_1 \ne p_2$
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The null hypothesis (H0) is a statement of no effect or no difference. The alternative hypothesis (Ha) is a statement of an effect or difference. In this case, the claim is not clearly stated, so we need to make an assumption. Let's assume that the claim is that Show more…
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