The Arizona Family Income Tax Credit is based on your adjusted gross income and is applied to the extent you have a tax liability on your Arizona tax return. You can check the adjusted gross income qualifications here.
I suggest you look are your state tax summary to see if your adjusted gross income and tax liability allow for you to take the credit. If not, you can post another query here.
To view your state tax summary do the following after first starting to work on your state tax return:
Choose Tax Tools from your left menu bar in TurboTax Online while working in your program
Choose Tools
Choose View Tax Summary
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