In a recent Pew Research Poll, 287 out of 522 randomly selected men in the U. S. were able to identify Egypt when it was highlighted on a map of the Middle East. When 520 randomly selected women were asked, 233 were able to do so. A) Find the standard deviation of the sampling distribution to the nearest thousandth.

B) Construct and interpret a 95% confidence interval for the difference in the proportions of U. S. men and women who can identify Egypt on a map. Round to the thousandth place.

C) Test the claim that there is a difference in these 2 proportions at the 0.05 level. Identify the hypotheses, P-value, and the conclusion in the context of the problem.