The AHD gives dates of origin? This is news to me. The online version sure doesn’t, and I don’t recall the print editions doing it either, though I don’t have one handy.
Anyway, if they say 1950-55, they’re mistaken. The OED shows an 1884 usage from the New York Times:"21 Apr. 8/6 The door-prize of a watch every night has greatly interested the younger members of the congregation.”