You can also wiggle the tube, which will often show up a problem with the socket. Usually that means dirty tube pins or a marginal solder joint on the socket lugs. As with the chopstick test, use the crappy 'phones in case it makes a LOUD noise!
Less likely, but it does happen occasionally, a tube itself will make sporadic noises. If the tube has not been in operation very long, such noises often stop after 100 hours or so of burn-in, but rarely it will indicate a tube going bad. I've only personally experienced the latter with older, low-grade tubes from China, but it shows up on the web now and then.
On the radio-frequency interference question, if there have been no changes in your house (no new cell phones, light dimmers, refrigerators, etc.) it is still possible that a neighbor has something new.