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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
- 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 also with the logo of their favorite team. In a sample of 600 new subscribers, the number selecting each gift is reported below. At the .05 significance level, is there a preference for the gifts or should we conclude that the gifts are equally well liked?
Ho: Gift preference is evenly distributed throughout the Gifts
H1: Gift preference is NOT evenly distributed throughout the Gifts
Gift | Frequency |
Sweatshirt | 240 |
Coffee Cup | 195 |
Earrings | 165 |
- How many categories are there?
- What is the expected frequency for each Gift?
- How many degrees of freedom are there?
- What is the chi square critical value at the 0.05 significance level?
- Compute the 2 test statistic.
- What is the decision regarding the null hypothesis?
- Specifically, is there a preference for a particular gift?
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