Choosing portable grill displays. Refer to the Journal of Consumer Research (Mar. 2003) experiment on influencing the choices of others by offering undesirable alternatives, presented in Exercise 3.29 (p. 159). Recall that each of 124 college students selected three portable grills out of five to display on the showroom floor. The students were instructed to include Grill #2 (a smaller-sized grill) and select the remaining two grills in the display to maximize purchases of Grill #2. If the six possible grill display combinations (1–2–3, 1–2–4, 1–2–5, 2–3–4, 2–3–5, and 2–4–5) are selected at random, then the proportion of students selecting any display will be 1>6 = .167. One theory tested by the researcher is that the students will LO9 tend to choose the three-grill display so that Grill #2 is a compromise between a more desirable and a less desirable grill. Of the 124 students, 85 students selected a three-grill display that was consistent with that theory.

Use this information to test the theory proposed by the researcher at a = .05.