Fastest way to know if your Basenji has a hearing problem, in my experience, is to drop some kibble into the dog's bowl when they are elsewhere in the house.
He does hear when I prepare his food even when doors are closed he seems to hear everything and his ears are constantly turning when we are outside. I think he is just very sensitive when it comes to people. He also gets startled easily. And it's not a problem of noise because he has no problem with cars driving by. Just a bus or motorcycle scares him sometimes. I tested it with noisy videos from YouTube. He can sleep on the couch while a jigsaw runs in TV. But outside would be a problem I guess. Apparently he is a very sensitive little guy.