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 2
H1: p 1 ≠ p2
B. H0: p1 ≠ p 2
H1: p 1 = p2
C. H0: p1 greater then or equal to p 2
H1: p 1 ≠ p2
D. H0: p1 = p2
H1: p1 < p 2
E. H0: p 1 ≤ p 2
H1: p 1 ≠ p 2
F. H0: p1 = p 2
H1: p1 > p2
2. Identify the test statistic.
z= ???
(Round to two decimal places as needed.)
3. Identify the P-value.
P-value= ???
(Round to three decimal places as needed.)