In State Kansas, 200,000 students graduated from four year colleges in 2011. Out of these 200,000 students, 110,000 students graduated from private schools, and 90,000 students graduated from state schools. You have drawn two separate simple random samples from the private school and state school graduates:
Sample 1: 100 students were drawn from the students who graduated from private schools. 50 out of these 100 students carried unpaid student debt upon graduation.
Sample 2: 200 students were drawn from the students who graduated from state schools. 150 out of these students 200 students carried unpaid student debt upon graduation.
Using the stratified sampling formula, estimate the proportion of the students who graduated from four year colleges in Kansas that carried student debt upon graduation.