(1 point) In a study of red/green color blindness, 550 men and2300 women are randomly selected and tested. Among the men, 47 havered/green color blindness. Among the women, 7 have red/green colorblindness. Test the claim that men have a higher rate of red/greencolor blindness.
(Note: Type ‘‘p_m′′‘‘p_m″ for the symbol pmpm , for examplep_mnot=p_wp_mnot=p_w for the proportions are notequal, p_m>p_wp_m>p_w for the proportion ofmen with color blindness is larger,p_m , for the proportion of menis smaller. )
(a) State the null hypothesis:
(b) State the alternative hypothesis:
(c) The test statistic is
(e) Construct the 9595% confidence interval for the differencebetween the color blindness rates of men and women.