The best thing would be to get a corrected W-2 form reflecting the correct amount of income allocated to each state, but that may not be possible.
Alternatively, you can enter your W-2 as you normally would and when you work on your state returns, you prepare a part-year resident return for each state. When you do the return for Arizona, you may be taxed on all of your income for the year, including the income you earned while living in Idaho. To compensate for that, you will see an option on your Idaho return to get a credit for taxes paid to Arizona while you were living in Idaho. Once you complete that portion of the return, your tax in Idaho will be reduced to compensate for the double tax paid in Arizona.
Since you didn't have any Idaho tax withheld from your pay, you will likely owe tax to Idaho, but that will be compensated by the reduction of tax you owe to Arizona per the above. You should do the Arizona return first as you will need the amount of tax paid there to get a credit on your Idaho return.
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