# Testing hypotheses based on a given data set

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The publisher of a sports magazine plans to offer new subscribers on of the three gifts: a sweatshirt coffee cup or pair of earrings with the logo of their favorite team In a sample of 500 new subscribers, selections made sweatshirts 183,coffe cup

175 and earrings 142 at the .05 significance level is there a preference for the gifts or should we conclude that the gifts are equally well liked?

https://brainmass.com/statistics/chi-squared-test/testing-hypotheses-based-given-data-set-22935

#### Solution Preview

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Solution. We can set up the null hypothesis H0 and the alternative hypothesis H1 as follows.

H0: The gifts are equally well liked

H1: The gifts are NOT equally well liked.

We have

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#### Solution Summary

The solution contains detailed explanation of testing hypotheses using the five-step procedures.

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