yep. that's the piece that broke.
get up under there and you ought to be able to see where the pedal comes up and where it would push the switch to turn the lights on and off. there is a hole there where that little rubber/plastic piece used to be.
you can either get a new piece, or stick a nickel or something up there. pretty much anything to cover that hole will work. I've always used a spit of jb weld and a nickel in my 240's since that is a common occurrence.