Oven Hood Light Fixture Borked - Help Please
The socket itself is probably shot, but you should be able to fix the range hood by replacing the socket.  It looks to be held into the chassis by a couple of retaining clips and should come out pretty easily from the back, although you'll probably have to remove the cover to take it out properly.  It looks like this part is what you would need to fix it (but don't take my word for it -- make sure to do your own research and verify that the replacement part looks the same as the original).  I found this by Googling for "Nutone Allure range hood replacement parts".  If it is indeed the correct part, then it should just plug right in.