Can someone explain why the amount I owed in state taxes was deducted from my federal refund and I still had to pay the state tax?

When turbo tax asked if I owed state I said yes.  According to turbo I owed 600. The 600 was taken out of my federal refund. I thought they would send it to state. But I still had to pay state. Where did my 600 from federal refund go.