A state politician is interested in knowing how voters in rural areas and cities differ in their opinions about gun control. For his study, 75 rural voters were surveyed and 41 were found to support gun control. Also included in the study were 75 voters from cities, and 53 of these voters were found to support gun control. Construct and interpret a 90% confidence interval for the true difference between the proportions of rural and city voters who favor gun control.
Answer:-
Let
p1 denotes the proportion of voters in rural areas who favor gun control.
and p2 denotes the proportion of voters in city areas who favor gun control.
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