To test: Whether the proportion of students choosing the three-grill display is a compromise between a more desirable and a less desirable grill is greater than 0.167.

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Chapter 7.6, Problem 7.80ACA

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To test: Whether the proportion of students choosing the three-grill display is a compromise between a more desirable and a less desirable grill is greater than 0.167.

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For an experiment on influencing the choices of others by offering undesirable alternatives, each of 103 college students selected three portable grills from five to display on a 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=0.167. 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(that is, display 1-2-3, 1-2-4, or 1-2-5). Of the 103 students, 57 selected a three-grill display that was consistent with this theory. Use this information to test the theory proposed by the researcher at α=0.01. 1. Identify the test statistic, z.…

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