Question

In a study of red/green color blindness, 600 men and 2700 women are randomly selected and tested. Among the men, 56 have red/green color blindness. Among the women, 6 have red/green color blindness. Test the claim that men have a higher rate of red/green color blindness.
(Note: Type ‘‘p_m″ for the symbol pm, for example, 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<p_w, for the proportion of men, is smaller. )

(a) State the null hypothesis:

(b) State the alternative hypothesis:

(c) The test statistic is

(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.

__________? <(pm−pw)<_________?

Answer 1