In a study of red/green color blindness, 900 men and 3000 womenare randomly selected and tested. Among the men, 84 have red/greencolor blindness. Among the women, 6 have red/green color blindness.Test the claim that men have a higher rate of red/green colorblindness.
(Note: Type ?_? ???=?_? for the proportions arenot equal, ?_?>?_? for the proportion of menwith color blindness is larger, ?_? , forthe proportion of men is smaller, and ?_?=?_? forthe proportions are equal. )
(a) State the null hypothesis:
(b) State the alternative hypothesis:
(c) The test statistic is  (to two decimal places)
(d) Construct the 99% confidence interval for the differencebetween the color blindness rates of men and women (round to atleast three decimal places). Remember to recalculate the SE, sinceit is different for CIs and tests.