Rhino viruses typically cause common colds. In a test of the effectiveness ofechinacea, 39 of the 44 subjects treated with echinacea developed rhinovirus infections. In a placebogroup, 95 of the 112 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 hypothesistest?