n one school district, there are 114 elementary school (K-5) teachers, of which 19 are male (or male-identifying). In a neighboring school district, there are 128 elementary teachers, of which 22 are male. A policy researcher would like to calculate the 98% confidence interval for the difference in proportions of male teachers. To keep the signs consistent for this problem, we will calculate all differences as p 1 p 2 . That.