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Rhino viruses typically cause common colds. In a test of the effectiveness of​ echinacea, 44 of...

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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