A researcher visits Sydney, Australia and obtains a random sample of n = 60 adults to determine whether they have any significant preferences among three leading brands of beer. Each consumer tastes all three brands of beer and then selects his or her favorite.The resulting frequency distribution is as follows:

Beer PreferenceCarletonBudweiserFoster's281418

Based on the data, can we conclude that there is any preference among the three brands? Why or why not?

Note: the chi-square critical value when df = 2 and

= .05 is 5.99.