Rhino viruses typically cause common colds. In a test of the effectiveness of​ echinacea, 47 of the 52 subjects treated with echinacea developed rhinovirus infections. In a placebo​ group,92 of the 109 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. The 99​% confidence interval is less than left parenthesis p 1 minus p 2 right parenthesisless than. ​(Round to three decimal places as​ needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 3CYU
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Rhino viruses typically cause common colds. In a test of the effectiveness of​ echinacea, 47 of the 52 subjects treated with echinacea developed rhinovirus infections. In a placebo​ group,92 of the 109 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.
The 99​% confidence interval is less than left parenthesis p 1 minus p 2 right parenthesisless than.
​(Round to three decimal places as​ needed.)
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