In a study of red/green color blindness, 750 men and 2600 women are randomly selected and tested. Among the men, 71 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
, for the proportion of men is smaller. )
(a) State the null hypothesis:
equation editorEquation Editor
(b) State the alternative hypothesis:
equation editorEquation Editor
(c) The test statistic is
equation editorEquation Editor
(d) Is there sufficient evidence to support the claim that men have a higher rate of red/green color blindness than women? Use a 10 % significance level.
A. Yes
B. No
(e) Construct the 90
% confidence interval for the difference between the color blindness rates of men and women.
equation editorEquation Editor <(pm−pw)<
equation editorEquation Editor
