Question

(2 pts) In a study of red/green color blindness, 700 men and 2150 women are randomly selected and tested. Among the men, 64 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:

Note that computation of the test statistic will produce z = 13.16

(c) 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

Answer 1

a)

H0 : pm= pw

b)
Ha: pm > pw

c)

Here, z = 13.16 is given

p value = 0.0001

yes because p value < 0.10