Will turbotax pay the "Personal Income Tax Billing Notice" I just received in the mail due to an error in the returns TurboTax prepared?

I received a letter from my state Department of Revenue informing me they adjusted my return because my "Gross Compensation" was off by $10,290.00. I now owe the state $392.41 total from tax, interest, and penalties. Interest will keep accruing as long as this goes unpaid.