if using the standard deduction and having an Arizona state refund coming does giving money for school tax credit increase my refund dollar for dollar?

Yes, subject to the existence of state tax liability as this credit is non-refundable.

This credit is $200 ($400 for MFJ) and is non-refundable. It will not increase your state refund dollar for dollar if you do not have a tax liability equal or greater than the tax credit.

Please read this Arizona revenue document for more information.