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
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
(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)<<(pm−pw)<
Get Answers For Free
Most questions answered within 1 hours.