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Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion.
Conduct the hypothesis test and provide the test statistic and the critical 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: 30, 29, 48, 40,28, 25. Use a 0.01 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?
The test statistic is (Round to three decimal places as needed.)
The critical value is (Round to three decimal places as needed.)
State the conclusion.
Reject /Do not reject H 0. There is not /is sufficient evidence to support the claim that the outcomes are not equally likely. The outcomes do not appear /appear to be equally likely, so the loaded die does not appear /appears to behave differently from a fair die.