Rhino viruses typically cause common colds. In a test of the effectiveness of​ echinacea, 41 of the 47 subjects treated with echinacea developed rhinovirus infections. In a placebo​ group, 74 of the 90 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. H0​: p1=p2 H1​: p1≠p2   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?   Identify the test statistic. z = _________   Identify the P-value p-value = _________

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