viruses typically cause common colds. In a test of the effectiveness of​ echinacea, 31 of the 38 subjects treated with echinacea developed rhinovirus infections. In a placebo​ group,83 of the 97 subjects developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on rhinovirus infections.  a. Identify the test statistic. z equals  ​(Round to two decimal places as​ needed.) b. Identify the​ P-value. ​P-value equals ​(Round to three decimal places as​ needed.)   c. Test the claim by constructing an appropriate confidence interval

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