Cincinnatus,
Greetings. I am an electrician and can walk you through some steps. I typed a lengthy reply but it was too long and being the idiot that I am I was unable to figure how to double post it and lost it. Basically, determine that you have power to the hot side of the wall switch, then determine that the switch is good, then determine that power is going to the fan. Buy a Wiggins at Home Depot for about $20. You don't really need a more expensive voltage tester. Unless you want one.
Short new guy intro: Electrician, ret military, live near San Antonio, shoot IDPA (just started), scored very well at first shoot but times kept my overall down. I perfer to use it as a more practical practice. No spray and pray here. Also shoot league at Blackhawk Range; mostly both during non baseball season, play in Men's Senior Baseball Leageue - I am a catcher i.e. "Backstop". I've got a double header starting at 11 so gotta go. I'll check back this evening. Is there a word count or something so as to know the post length?
Thanks, Don