Final Optional Review Inference 08-13: Problem 60

In a study of red/green color blindness, 700 men and 2550 women are randomly selected and tested. Among the men, 59 have red/green color blindness. Among the women, 145 have red/green color blindness. 

(a) Construct the 95% confidence interval for the difference between the color blindness rates of men and women. Let pm be the proportion of men with red/green color blindness and  pw be the proportion of women.
 % <(pm−pw)< %

(b) Which of the following is the correct interpretation for your answer in part (a)?
A. We can be 95% confident that the difference between the rates of red/green color blindness for men and women lies in the interval.
B. There is a 95% chance that the difference between the rates of red/green color blindness for men and women lies in the interval.
C. We can be 95% confident that the difference between the rates of red/green color blindness for men and women in the sample lies in the interval.
D. None of the above