in a study of red/green color blindness, 700 men and 2200 women are randomly selected and tested. Among the men, 64 have red/green color blindness. Among the women, 6 have red/green color blindness. Test the claim that men have a higher rate of red/green color blindness.

(a) The test statistic is

(b) Construct the 99% confidence interval for the difference between the color blindness rates of men and women.