Question

In a study of red/green color blindness, 1000 men and 2550 women are randomly selected and tested. Among the men, 90 have red/green color blindness. Among the women, 8 have red/green color blindness. Test the claim that men have a higher rate of red/green color blindness. (Note: Type p_mnot=p_w for the proportions are not equal, p_m>p_w for the proportion of men with color blindness is larger, p_m

(a) State the null hypothesis:

(b) State the alternative hypothesis:

(c) The test statistic is  (to two decimal places)

(d) Is there sufficient evidence to support the claim that men have a higher rate of red/green color blindness than women? Use a 1 % significance level.

A. Yes
B. No

(e) Construct the 9999% confidence interval for the difference between the color blindness rates of men and women (round to at least three decimal places). Remember to recalculate the SE, since it is different for CIs and tests.

<(pm−pw)<<(pm−pw)<

Answer 1