In: Statistics and Probability
(1 point) In a study of red/green color blindness, 550 men and
2300 women are randomly selected and tested. Among the men, 47 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 blindness.
(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
(e) Construct the 9595% confidence interval for the difference between the color blindness rates of men and women.