In a study of red/green color blindness, 500 men and 2200 women are randomly selected and tested. Among the men, 44 have red/green color blindness. Among the women, 5 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
In a study of red/green color blindness, 500 men and 2200 women are randomly selected and tested. Among the men, 44 have red/green color blindness. Among the women, 5 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 10 % significance level.
A. Yes
B. No
(e) Construct the 9090% confidence interval for the difference between the color blindness rates of men and women.
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