In order to compare the proportion p1 of middle school girls who work a summer job before entering high school to the proportion p2 of middle school boys who work a summer job before entering high school, independent random samples are selected from each population, with the following results:
Test the hypothesis at the α = .01 level of significance that the proportion p1 of middle school girls who work a summer job before entering high school is at least as great as the proportion p2 of middle school boys who work a summer job before entering high school.