No need to mess with the other light, if it works leave it alone. Then you won't drop another lens!

Actually, that will tell you that everything in the panel (the switch, fuse/power) is OK
Check the "bad" side with a volt/ohm meter. You can see if you are getting power to the socket. Bypass the ground to see if the ground wire is bad.
The only things that could be wrong are:
1)open "hot" wire 12V+
2) open ground wire, attaches to end rib under wingtip fairing
3) corroded socket
4) burned out bulb
Sometimes it's as simple as a crimped terminal lug breaking off a wire