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13. (5 points) A 4 sided die is rolled 30 times. The person who gave it to us promised that it was a fair die,

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13. (5 points) A 4 sided die is rolled 30 times. The person who gave it to us promised that it was a fair die, but we observed the value 1 a total of 12 times, the value of 2 a total of 7 times, the value of 3 a total of 6 times, and the value of 4 a total of 5 times. Using a Goodness of fit test at the 05 significance level, test the claim that each face of the die shows up with equal probabilities

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