The publisher of a sports magazine plans to offer new subscribers one of three gifts: a sweatshirt with the logo of their favorite team, a coffee cup with the logo of their favorite team, or a pair of earrings with the logo of their favorite team. In a sample of 506 new subscribers, the number selecting each gift is reported below. At the 0.01 significance level, is there a preference for the gifts or should we conclude that the gifts are equally well liked?   Gift Frequency Sweatshirt 197 Coffee cup 152 Earrings 157     H0: πs = πc = πe H1: The proportions are not equal.   State the decision rule. Use 0.01 significance level. (Round your answer to 3 decimal places.)           How many degrees of freedom are there?

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