There are a few tests one can do to determine if the windshield washer fluid pump on the 2000 Chevy Cavalier is bad. When it goes bad, you will hear the system try to work, but no fluid will come out.
Take out the windshield washer tank and the bar that goes across baterry is right below
The red spray gun warning light on your 2003 Van is an indication that the windshield washer fluid is low. Fill the windshield washer fluid container and the light should go off.
take the hose off it that goes to the radiator and unbolt it from the inner fender well .
If the reservoir has a hose that travels to the top of the radiator, then it is filled with engine coolant. If the hose is not connected to the radiator, then it is most likely a windshield washer bottle.
If engine oil goes into the screen wash, or windshield washer fluid, the reservoir and hoses become full of greasy gunk. This will clog the hoses and reservoir. Remove and clean immediately.
May be this info can help you: http://www.at-hidraulic.eu/faq/ This is the article from specialized hydraulic center about power steering
If it's anything like my 1998 Explorer sport here it goes. Of course pop the hood. Stand on the right side of the engine compartment where the washer fluid reservoir is. While looking at the washer fluid reservoir look on the lower left side of the reservoir. There will be a small black item with an electrical connection and two hoses attached to it. That is the washer pump.
Replace the locking tab on top of the wiper
It goes on the driver's side engine bay, on the lower side of the flat in front of the wheel well you find 3 screw holes in a sideways triangle pattern. That's it.
Most likely on the bottom of the washer fluid bottle. Where you add fluid. If the filler neck goes into the fender that's where it is. If the bottle is visible it may be on the bottom of that, if not there, it is part of the wiper motor.
It's run on air instead of a little electric pump. There is a tube connected to the spare tire that is filled to about 45 psi, goes to the water tank, then goes to the button, then to the windshield. Your expected to release the extra air out of the good spare when you have a flat, but then you won't have a windshield washer now that the bad spare is flat.