The old light fixture and socket were easily removed. This was done with the power connected, but I already knew the switch didn't need to be handled. The solderless connectors are all insulated, so I just had to be careful. The new socket would not accept the connector for the "hot" (red) wire in the fridge, due to a design change. This is, of course, why you furnished a loose 3/16 inch crimpon connector. Rather than cutting the red wire (remember, the power is still connected), I obtained an insulated 3/16 connector of the opposite gender, and a short piece of red-insulated wire from an old fluorescent tube ballast, and made a jumper. The connector I provided (male) did not fit tightly in the original fridge connector, so I put a layer of resin-core solder on my male connector. You need tight connections. If the solder layer is too thick, it's easy to file down. Make sure to heat the solder sufficiently that the solidified solder is shiny and not dull gray. I used a 100-watt gun. 20 watts would probably work too. DO NOT USE ACID-CORE SOLDER OR FLUX ON ELECTRICAL WORK! I knew the switch was good, because I had checked for voltage at the socket terminals using my voltmeter, before I ordered the socket. It read 120 volts every time the door switch was open, and zero volts every time the door switch was pushed closed. A simple voltage tester would work here, too. Be very careful if you do this test or this repair with the power connected to the fridge; there is considerable potential to find yourself touching 120 volts with one hand while your other hand is touching a perfect "ground". There doesn't seem to be any choice if you want to test the switch. You do have a choice with the socket replacement - - the jumper described above. If you're not going to use the jumper approach, cut the power! If you are going to make a jumper and are not comfortable working on a "live" circuit, cut the power.
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