At a large company retreat, management orders subs for lunch. They hypothesize that 50% of the attendees will choose a turkey sub, 40% will choose a ham sub, and 10% 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. They find that 32 prefer turkey, 17 prefer ham, and 1 prefers vegetarian. The management would like to know if there is convincing evidence that the distribution of sub preference differs from 50% turkey, 40% ham, and 10% vegetarian. What is the value of the chi-square test statistic and P-value?

Find the chi-square table here.

χ2 = 5.61, P-value is between 0.10 and 0.15
χ2 = 5.61, P-value is between 0.20 and 0.25
χ2 = 18.06, P-value is less than 0.0005
χ2 = 18.06, P-value is greater than 0.25