Traffic accidents: Traffic engineers compared rates of traffic accidents at intersections with raised medians with rates at intersections with two-way left-turn lanes. They found that out of4653accidents at intersections with raised medians,2249were rear-ended accidents, and out of4584accidents at two-way left-turn lanes,2059were rear-ended accidents.

(a) Assuming these to be random samples of accidents from the two types of intersection, construct a95%confidence interval for the difference between the proportions of accidents that are of the rear-end type at the two types of intersection. Letp1denote the proportion of accidents of the rear-end type at intersections with raised medians. Use tables to find the critical value and round the answer to at least three decimal places.

A 95%confidence interval for the difference between the proportions of accidents that are of the rear-end type at the two types of intersection is---- < p1 - p2 < ----