Have a 1992 corvette and a hose popped out and doesn't run right

I am guessing the hose runs from the valve cover to the intake manifold. Hook it back up and see if it runs correctly. As Tom said the engine light will soon go off.

This looks like a smog control PVC hose that hooks into the throttle body. the hose is bent to fit onto the tube. Look where the tube is wanting to go, and see if you can see an open metal tube. Attach it, and if it is lose, use a connector to keep it one. If it is lose, it will give a signal that too much air is coming into the throttle body and that is what will turn on the "check engine light" comes on.