You want to survey 120 teachers in a school district that has 200 elementary teachers (i.e., 160 women and 40 men), 100 junior high teachers (i.e., 60 women and 40 men), and 100 high school teachers (i.e., 40 women and 60 men).How many men and women from among the elementary teachers would you choose for a proportional stratified sample?

Question

Quizplus · Accepted Answer

To calculate the proportional size of each stratum, we need to use the following formula: 
proportional size of stratum = (size of stratum / total population) * total sample size

For the elementary teachers, the proportional size would be:
(200/400) x 120 = 60

Since there are 160 women and 40 men among the elementary teachers, we can calculate the proportional sizes for each group:
Women: (160/200) x 60 = 48
Men: (40/200) x 60 = 12

Therefore, we should choose 48 women and 12 men from among the elementary teachers for a proportional stratified sample.

You Want to Survey 120 Teachers in a School District