In a study of red/green color blindness, 950 men and 2000 women are randomly selected and tested. Among the men, 83 have red/green color blindness. Among the women, 5 have red/green color blindness. Test the claim that men have a higher rate of red/green color blindness.
(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, yes or no? Use a 1 % significance level.
(e) Construct the 99% confidence interval for the difference between the color blindness rates of men and women.