You may owe taxes to the federal and state because your withholding is too low. You can adjust your withholding by submitting a new Form W-4 to your employer.
You can use the TurboTax W-4 Withholding Calculator to help you find the right withholding when completing a new W-4. You can use this info to boost your refund or increase your take-home pay.)
Some of the common reasons why you may owe state and federal taxes are:
Click here for "How do I update and print a new W-4?"
Click here for "Why do I owe taxes?"
Click here for "Video: Why Would I Owe Federal Taxes?"