In a study of red/green color blindness, 950 men and 2000 women are randomly selected and tested. Among the men, 82 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<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
In a study of red/green color blindness, 950 men and 2000 women are randomly selected and tested. Among the men, 82 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<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.
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