Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 44 of the 50 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.
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= (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.)
b. Test the claim by constructing an appropriate confidence interval. The 99 % confidence interval is =------ < (p 1 - p 2 )<------ (Round to three decimal places as needed.) Enter your answer in the edit fields and then click Check Answer.
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