Working an internship this summer in a state different from my state of residency. Do I complete a state W4 for my state of residency, or the state I will be working in?

[pratico_timo]

The two states do not have a reciprocal state tax agreement in place. 

I am claiming 0 exemptions and 0 withholding on my federal W4, if that changes anything as well. Just confused as to whether or not I complete state W4s for both my state of primary residency and the state I will be working in, or just one of the two. 

I am claiming the same amount of exemptions for both federal and state tax as well, so therefore, do I have to file the state withholding form at all?

[Critter]

Your employer will provide you with the correct state form to fill out for the state where you are working only  ... and you will need to file a non resident & resident state returns (complete them in that order in the TT program ) if you make enough to be required to file a state return.