Q:

How should I connect a new outlet with two pairs of wires?

I have a kitchen outlet that stopped working. I"m in the process of replacing it. I've discarded the old outlet. I purchased a Hubbell duplex receptacle. It has brass screws on the left side with a split circuit tab between them and 2 silver screws with a split circuit tab on the right side. 
Do I wire the 2 black wires onto  the brass screws and the two white wires onto the silver screws? My test light indicated that only 1 of the black wires is hot.

A:

Yes, wire the black wires to the brass screws and the whites to the silver screws. The black wire that is not hot is feeding a receptacle downstream and being fed by the wire that is hot via the receptacle. Do not remove the tabs on the outlet in this case.
If it's a direct replacement, when in doubt wire the new one the same as the old one and you'll be fine. If you have any doubts as to the connection, post up a few pics.

