In a study of red/green color blindness, 700 men and 2950 women are randomly selected and tested. Among the men, 67 have red/green color blindness. Among the women, 9 have red/green color blindness. Test the claim that men have a higher rate of red/green color blindness.

(Note: Type''p_mfor the symbolpm, for example, p_mnot=p_wfor the proportions are not equal,p_m>p_w for the proportion of men with color blindness is larger,p_m, for the proportion of men is smaller. )

(a) State the null hypothesis:

(b) State the alternative hypothesis:

(c) The test statistic is:

(e) Construct the95% confidence interval for the difference between the color blindness rates of men and women.

? <(pmpw)< ?