A government-run health center is tasked with the responsibility of offering primary healthcare services to 2 administrative wards in a city. As part of the center's responsibilities to maintain records of health outcomes, a team of frontline staff members interviewed a random sample of married women from each ward. In ward A 186 out of 417 women reported that they were currently using modern contraceptive methods. In ward B, from a random sample of 402 women, 198 reported currently using modern contraceptive methods. The health center is interested in the difference between the true population proportions,P_A - P_B for the two wards.

1. (4 points) What is the estimate of the true difference between the proportions (P_A - P_B), and the standard error of the estimate (SE _{PA - PB})?
2. (2 points) What is the 99% confidence interval estimate of the true difference in population proportions?