What does total income tax mean?

Total income tax is the tax amount on your taxable income.  See Screenshot Attachment

Review your Tax Summary to see total taxes withheld. Here's how:

1. Sign into your return, and select take me to my return.
2. On the left select Tax Tools > Tools.
3. When you see Tools Center select View Tax Summary.
4. Look for Total payments.
5. You can also "Preview my 1040" on the left while you are in this section and look at line 64. (see screen shot attachment)
6. If you have a state, that will also be listed on the left.

You can also look at Other Income Taxes:

1. On the left click on Federal, and Deductions & Credits at the top.
2. Scroll down and select show more beside Estimates and Other Taxes Paid.
3. Select start of revisit beside Other Income Taxes.
4. When you see About other income taxes, select the blue message Where does the other income taxes amount come from for a breakdown.

Yes,  If you had an internship in NY you should have gotten a W-2 to report it.  I would expect that NY taxes would have been taken out.  You will have to prepare both a NY and AZ tax return.  Hopefully, the taxes withheld in NY will cover the income. 

You will get a credit for the NY taxes on your AZ tax return as taxes paid to another state.  Please note that AZ will only cover up to the amount the AZ tax would have been.  You will not get a refund for additional taxes in NY.