An Experimenter Planned a Study in Which a Crucial Step

An experimenter planned a study in which a crucial step was offering participants a food reward,and having three food rewards that were equal in appeal was important.Thus,participants in a pilot study were asked which of three rewards they preferred.Of the 60 participants,16 preferred cupcakes,26 preferred candy bars,and 18 favored dried apricots.Using the .05 significance level,do the results suggest that people prefer different foods in general?
a.Use the five steps of hypothesis testing.
b.Sketch the chi-square distribution.Be sure your sketch gives a rough indication of its shape and shows the cutoff score and the sample's score.
c.Explain the logic of what you have done to a person who is familiar with the logic and steps of hypothesis testing for the t test and analysis of variance,but who knows nothing about chi-square tests.Be sure your explanation includes the logic of figuring the chi-square statistic,determining the degrees of freedom,describing the shape of the chi-square distribution,and using the chi-square table.