Rhino viruses typically cause common colds. in a test of the effectiveness of echinacea, 39 of the 45 subjects treated with echinacea developed rhinovirus infections. in a placebo group, 87 of the 101 subjects developed rhinovirus infections. use a 0.01significance 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. h0: p1 = p 2h1: p 1 ≠ p2b. h0: p1 ≠ p 2h1: p 1 = p2c. h0: p1 greater then or equal to p 2h1: p 1 ≠ p2d. h0: p1 = p2h1: p1 < p 2e. h0: p 1 ≤ p 2h1: p 1 ≠ p 2f. h0: p1 = p 2h1: p1 > p2
b. identify the test statistic. z= (round to two decimal places as needed.)
c. identify the p-value. p-value= (round to three decimal places as needed.)