Chapter 11.3, Problem 44E

The article “Most Women Oppose Having to Register for the Draft” (February 10, 2016, rasmussenreports.com, retrieved December 15, 2016) describes a survey of likely voters in the United States. The article states that 36% of those in a representative sample of male likely voters and 21 % of those in a representative sample of female likely voters said that they thought the United States should have a military draft. Suppose that these percentages were based on random samples of 500 men and 500 women.

Use a significance level of 0.01 to determine if there is convincing evidence that the proportion of male likely voters who think the United States should have a military draft is different from this proportion for female likely voters.