Rhino viruses typically cause common colds. In a test of the effectiveness of​ echinacea, 36 of the 42 subjects treated with echinacea developed rhinovirus infections. In a placebo​ group, 94 of the 107 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. Identify the test statistic. z=enter your response here ​(Round to two decimal places as​ needed.)   Identify the​ P-value. ​P-value=enter your response here ​(Round to three decimal places as​ needed.)   b. Test the claim by constructing an appropriate confidence interval. The 99​% confidence interval is enter your response here

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