A state politician is interested in knowing how voters in rural areas and cities differ in their opinions about gun control. For his study, 92 rural voters were surveyed, and 57 were found to support gun control. Also included in the study were 92 voters from cities, and 36 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.
Step 1 of 2 : Construct a 90% 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.