Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 33 of the 40 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 84 of the 98 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 hypothesis test?
b. Identify the test statistic.
(Round to two decimal places as needed.)
c. Identify the P-value.
P-value= ???
(Round to three decimal places as needed.)
The statistical software output for this problem is:
a) Hypotheses:
Ho: p1 = p2
Ha: p1 < p2
b) Test statistic = -0.48
c) P - value = 0.317
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