Question: The headline for an article in the Sacramento Bee read, "Women appear to be better investors than men in study" (Jack Sirard, April 24, 2005, p. D1). The conclusion was based on a telephone poll of 500 men and 500 women. One quote in the article was "men are much more likely to stick with a losing investment than women (47 percent to 35 percent)."

a. Assuming that there was no preconceived idea of whether men or women would be more likely to stick with a losing investment, state the null and alternative hypotheses for testing whether the population proportions of men and women who would stick with a losing investment differ.

b. Carry out the remaining steps to test the hypotheses that you stated in part (a).