A researcher plans a study in which a crucial step is offering participants a food reward. It is important that the three food rewards be equal in appeal. Thus, a pre-study was designed in which participants were asked which of the rewards they preferred. Of the 60 participants, 16 preferred cupcakes, 26 preferred candy bars, and 18 favored dried apricots.
Do these scores suggest that the different foods are differentially preferred by people in general? (Use the .05 significance level.)
a. Use the five steps of hypothesis testing and show all work.
b. Explain the logic of what you have done to a person who is unfamiliar with inferential statistics.