In a Pew Research poll, 287 out of 522 randomly selected U.S. men were able to identify Egypt when it was highlighted on a map of the Middle East. When 520 randomly selected U.S. women were asked, 233...

Extracted text: In a Pew Research poll, 287 out of 522 randomly selected U.S. men were able to identify Egypt when it was highlighted on a map of the Middle East. When 520 randomly selected U.S. women were asked, 233 were able to do so. Construct and interpret a 95% confidence interval for the difference in the true proportion of U.S. men and U.S. women who can identify Egypt on a map. (0.499) (0.501) 0.102 + 2.5761 1042 We are 95% confident that the interval from 0.062 to 0.142 captures p1 – P2 = the true difference in the proportions of men and women who can identify Egypt on a map. (0.55) (0.45) (0.448) (0.552) (0.550 – 0.448) ± 1.961 522 520 We are 95% confident that the interval from 0.042 to 0.160 captures p1 – p2 = the true difference in the proportions of men and women who can identify Egypt on a map. (0.499) (0.501) 0.102 + 1.961 1042 We are 95% confident that the interval from 0.072 to 0.132 captures pi – P2 = the true difference in the proportions of men and women who can identify Egypt on a map. (0.55) (0.45) (0.448) (0.552) + (0.550 – 0.448) ± 2.5761 - 522 520 We are 95% confident that the interval from 0.041 to 0.162 captures pi – P2 = the true difference in the proportions of men and women who can identify Egypt on a map.