Exercise described the problem of a looming shortage of professors, possibly made worse by professors desiring to retire before the age of 65. A survey asked a random sample of professors whether he or she intended to retire before 65. The responses are 1 = No and 2 = Yes.

In addition, the survey asked to which faculty did the professor belong (1 = Arts, 2 = Science, 3 = Business, 4 = Engineering, 5 = Other). Do these provide sufficient evidence to infer that whether a professor wishes to retire is related to the faculty?