> Isn't it a contradiction to say it's below market rate when the market determined that the wage being paid is fair?

Circular logic / begging the question. The crux of the debate is whether the free-market is a good arbiter of fairness.

> Teen/single mother pregnancy is the best predictor of poverty.

Poverty is the best predictor of teen/single mother pregnancy.

Circumstances of birth are the best predictor of poverty.