Quoted from RazerX:Switch #5 using the ni-wumpf is the rolling ball part of the tilt mechanism. If that's closed, you may not be able to start a game. The tilt bob switch is #4.
Thanks! I went through and tested all the switches in switch test to see what was what, and on my machine switch #5 in the test actually corresponds to the outhole (not the rolling ball tilt). I wrote down 15 in my notes the other night and that was incorrect. Here is a map of the switch numbering based upon my manual testing.
sinbad switch test numbering with ni-wumpf board
While i was testing all the switches, at a certain point the collection of switches that were not registering before (a separate issue) started to work. Those are highlighted in yellow in the image above.
Now the game works, but the switch test shows #15 stuck on, which i can only assume is the slam tilt or rolling ball tilt (or both?) because I can't get either one of those to register in the switch test.
Thanks for everyone's help.