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In: Statistics and Probability

Conduct the hypothesis test and provide the test​ statistic, critical value and​ P-value, and state the...

Conduct the hypothesis test and provide the test​ statistic, critical value and​ P-value, and state the conclusion. A person drilled a hole in a die and filled it with a lead​ weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of​ 1, 2,​ 3, 4,​ 5, and​ 6, respectively: 28​, 31​, 44​, 38​, 26​, 33. Use a 0.025 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair​ die?

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