Suppose a presidential candidate wants to compare the preferences of registered voters in the northeastern United States with those in the southeastern United States. Such a comparison would help determine where to concentrate campaign efforts. The candidate hires a professional pollster to randomly choose 1,500 registered voters in the northeast and 2,000 in the southeast and interview each to learn of her or his voting preference. Construct a 95% confidence interval for the difference between population proportion of voters in Northeast and the population proportion of voters in Southeast.

Results of Poll
Northeast	Southeast
n1 = 1,500	n2 = 2,000
x1 = 546	x2 = 475