In a study of
red/green color blindness, 700 men and 2500 women are randomly
selected and tested. Among the men, 63 have red/green color
blindness. Among the women, 7 have red/green color blindness. Test
the claim that men have a higher rate of red/green color
(Note: Type ‘‘p_m′′‘‘p_m″ for the symbol pmpm , for example p_mnot=p_wp_mnot=p_w for the proportions are not equal, p_m>p_wp_m>p_w for the proportion of men with color blindness is larger, p_m<p_wp_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.
(e) Construct the 9999% confidence interval for the difference between the color blindness rates of men and women.
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