Problem 80E

Choosing portable grill displays. Refer to the Journal of Consumer Research (Mar. 2003) experiment on influencing the choices of others by offering undesirable alternatives, Exercise 3.23 (p. 142). Recall that each of 124 college students selected three portable grills from 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) were selected at random, then the proportion of students selecting any display was 1/6 = .167. One theory tested by the researcher was that the students would tend to choose the three-grill display so that Grill #2 was a compromise between a more desirable and a less desirable grill (i.e., display 1-2-3, 1-2-4, or 1-2-5). Of the 124 students, 85 selected a three-grill display that was consistent with this theory. Use this information to test the theory proposed by the researcher at = .05.

Solution:

Step 1 of 2:

We have,

the proportion of students selecting any display was 0.167.

x = selected three grill display

= 85

n = 124

The claim is to compute the test statistic and give the conclusion.