Lived in pa during 2016 until may worked in pa the entire year, lived in new jersey may-dec. pa withheld state taxes on part of income and nj on the other part. owe nj?

Says I owe over 500 to nj bc they withheld around 200 on 40,000 and pa withheld 900 on 29,000 no refund from pa.   whats going on that I am missing