Axulus
Veteran Member
You have a high school that is made up of 10% black students and 90% white students. 1,000 students attend the school in total.
20% of the black students (20) and 10% (90) of the white students drop out before graduating.
The school has received a $1,000,000 grant whose stated purpose is to use the funds to increase the number of students who graduate.
Option 1: If you spend the funds without targeting by race in the most efficient manner available, you'll reduce the dropout rate by 30%. However, the white and black students benefit equally in proportion to their populations, so you'll still have twice as many black students, proportionally, who drop out. In other words, you'll reduce the dropout population from 110 to about 75, but you'll still have twice the percentage of black students dropping out as white students. 35 (6 of them black and 29 of them white) additional students will now graduate, but the white/black graduation gap still remains double, percentage wise. We now see about 7% of whites and about 14% of blacks drop out.
Option 2: If you use the funds to focus more heavily on the black students, you can have a more dramatic impact on the white/black graduation gap. However, due to diminishing returns (the most difficult/hardest cases become more costly to help and the help is less likely to succeed), you only reduce the overall dropout rate by 25% instead of 30%. Whereas the previous scenario you see 35 additional students graduate, in this scenario you see about 27 additional students graduate. Due to the focus of the funds, 8 of them are black and 19 of them are white. 8 fewer students than the previous option, but two additional black students. The white dropout rate is now about 8% and the black dropout rate is now about 12%. The white/black graduation gap is 3% narrower with this option compared to the previous option, but fewer students overall graduate.
Which option would you pick and why?
For me, option 1 is the way to go. The focus should be on helping the greatest number of individuals and not targeting by race. Race is not a characteristic that should be utilized when determining who to help. Who to help and how much to help should be chosen based on the likelihood of any given help making a difference, regardless of what race they happen to be.
20% of the black students (20) and 10% (90) of the white students drop out before graduating.
The school has received a $1,000,000 grant whose stated purpose is to use the funds to increase the number of students who graduate.
Option 1: If you spend the funds without targeting by race in the most efficient manner available, you'll reduce the dropout rate by 30%. However, the white and black students benefit equally in proportion to their populations, so you'll still have twice as many black students, proportionally, who drop out. In other words, you'll reduce the dropout population from 110 to about 75, but you'll still have twice the percentage of black students dropping out as white students. 35 (6 of them black and 29 of them white) additional students will now graduate, but the white/black graduation gap still remains double, percentage wise. We now see about 7% of whites and about 14% of blacks drop out.
Option 2: If you use the funds to focus more heavily on the black students, you can have a more dramatic impact on the white/black graduation gap. However, due to diminishing returns (the most difficult/hardest cases become more costly to help and the help is less likely to succeed), you only reduce the overall dropout rate by 25% instead of 30%. Whereas the previous scenario you see 35 additional students graduate, in this scenario you see about 27 additional students graduate. Due to the focus of the funds, 8 of them are black and 19 of them are white. 8 fewer students than the previous option, but two additional black students. The white dropout rate is now about 8% and the black dropout rate is now about 12%. The white/black graduation gap is 3% narrower with this option compared to the previous option, but fewer students overall graduate.
Which option would you pick and why?
For me, option 1 is the way to go. The focus should be on helping the greatest number of individuals and not targeting by race. Race is not a characteristic that should be utilized when determining who to help. Who to help and how much to help should be chosen based on the likelihood of any given help making a difference, regardless of what race they happen to be.