A state politician is interested in knowing how voters in rural areas and cities differ in their opinions about gun control. For his study,96 rural voters were surveyed, and38 were found to support gun control. Also included in the study were96 voters from cities, and67 of these voters were found to support gun control. Let Population 1 be the voters in rural areas and Population 2 be the voters from cities.

Step1of2:Construct a99% confidence interval for the true difference between the proportions of rural and city voters who favor gun control. Round the endpoints of the interval to three decimal places, if necessary.