At a large company retreat, management orders subs for lunch. They hypothesize that 50 percent of the attendees will choose a turkey sub, 40 percent will choose a ham sub, and 10 percent will choose a vegetarian sub. Before placing the order, they select a random sample of 50 attendees and determine the type of sub they prefer. The management would like to know if there is convincing evidence that the distribution of sub preference differs from 50 percent turkey, 40 percent ham, and 10 percent vegetarian. Are the conditions for inference met?