In a study of red/green color blindness, 700 men and 2550 women are randomly selected and tested. Among the men, 64 have red/green color blindness. Among the women, 8 have red/green color blindness. Test the claim that men have a higher rate of red/green color blindness. (Note: Type ‘‘p_m″‘‘p_m″ for the symbol pmpm , for example p_mnot=p_w for the proportions are not equal, p_m>p_w for the proportion of men with color blindness is larger, p_m

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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In a study of red/green color blindness, 700 men and 2550 women are randomly selected and tested. Among the men, 64 have red/green color blindness. Among the women, 8 have red/green color blindness. Test the claim that men have a higher rate of red/green color blindness.
(Note: Type ‘‘p_m″‘‘p_m″ for the symbol pmpm , for example p_mnot=p_w for the proportions are not equal, p_m>p_w for the proportion of men with color blindness is larger, p_m<p_w for the proportion of men is smaller. )

 

(a) State the null hypothesis:

(b) State the alternative hypothesis:

(c) The test statistic is

(d) Is there sufficient evidence to support the claim that men have a higher rate of red/green color blindness than women? Use a 5 % significance level.

A. Yes
B. No

(e) Construct the 95% confidence interval for the difference between the color blindness rates of men and women.

<(pm−pw)<
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