You would only be able to change or correct the amount of withholding by changing or correcting your W-2 that was entered on the Federal tax return.
Be sure to take a look at all of your income documents that may have reported withholding such as W-2s or Form 1099-R. Do this by going back to the Wages and Income section of the Federal return and editing each income document to check that the state withholding amount that was entered is accurate.
If your state refund is greater than your withholding for the state, you may have qualified for a state credit that is increasing your refund.
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