Question: In a study of red/green color blindness, 500 men and 2100 women are randomly selected and tested. Among the men, 45 have red/green color blindness. Among the women, 6 have red/green color blindness.

a. Is there sufficient evidence to support the claim that men have a higher rate of red/green color blindness than women? Use a 0.01 significance level.

b. Why would the sample size for women be so much larger than the sample size for men?