I located the part at my local Sears Parts store. It cost $39.53 with tax. Using the instructions that I found on www.FitItNow.com, I took the washer apart by removing just 2 screws and 2 clamps. I replaced the switch and put the washer back together.
The moment of truth, I selected the smallest load size and shortest wash cycle and started the washer. Water filled the washer and then... a humming noise. Not exactly what I was expecting. Nevertheless, it was positive in that water filled the washer and now there was a hum.
After some more research on www.FixItNow.com (what a great web site! It gives detailed advice from appliance repair masters.), I came across a list of things to check in order to help diagnose the problem. First thing on the list was to check the lid switch. (Well I know that my NEW lid switch is working fine.) Second item on the list was to check pump, then the motor, and finally the coupler.
I followed the instructions and determined that the pump is not working. Now there are two reasons for the pump not working. One, there is a sock or something stuck in the pump or two, the pump has seized. I'm hoping that it's just a sock.
To check the pump I need to take off two clamps that hold the hoses to it. These clamps are really hard to squeeze and the tool that I need to take the clamps off is at the boat. Since I know that I will be going to the boat later, I decided not to go to Wal-Mart and purchase the pliers.
See, I warned you this might turn into a soap opera.