Professors collected data consisting of eye color and gender of statistics students. Among 1107 female students, 352 had brown eyes. Among 919 male students, 290 had brown eyes. Use a 0.01 significance level to test the claim that the proportions of brown eyes are the same for female and males.
A) Test the claim using a hypothesis test.
a) Identify the null hypothesis
b) the alternative hypothesis
c) Test statistic
d) P-value
and e) Critical value(s).