Found this Frigidaire question posted under Whirlpool but I'll be happy to answer just the same.
The starting capacitor is connected to the line level voltage, as opposed to the high-voltage capacitor evryone warns about.
The starting cap doesn't store enough of a charge to worry about.
The main thing is to be sure the oven is disconnected from the power line. I prefer unplugging it, but some installations make that hard, so you need to turn off the breaker.
Hood fan failure can happen due to many causes:
If a cooktop light bulb blows or is removed or installed while the oven is still connected to the power line, that can damage the circuit board in the area.
The hood fan motor wiring can short.
The starting capacitor can be bad.
There may be dust, hair, debris, etc. in the bearings of the hood fan motor jamming it. The filters are supposed ot help prevent this, but things happen.
Behind the control panel on Whirlpools is a very helpful mini-manual that can help you check and diagnose quite a few problems with these.
On some brands it's located on the control circuit board, in others it's mounted on or in the hood fan assembly.
If you post your brand and model we can probably steere you better on a mini-manual and the capacitor.

Comment by MicrowaveSvc, posted on Dec 04, 2007
.
To clarify, I was referring again to the capacitor when I said this:
"On some brands it's located on the control circuit board, in others it's mounted on or in the hood fan assembly."
My transition was a bit rough, I may have had you thinking I was talking about where the mini-manual might be located.