Bissell 9200 upright carpet cleaner does not spray water. Could it be the pump or solenoid, or both?

It could be the pump. You can open it up and see if the pump is working by taking the pump input tube and inserting it into a bowl of water. Pull the trigger and see if water is leaving at the pump output.

However, ensure you have the simpler things covered first:
Ensure you have water in tank and solution (or water in solution tank). When you start the vacuum up, the pump starts to prime itself. If you have air in the system, it takes a little longer to prime. Allow the vacuum to run for 1 minute before attempting to pull the trigger. Then pull the trigger.
If this doesn't work, you'll need to open the unit up and check the hoses for any clogs, and next test the pump to see if it is functioning.