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

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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, 27, 42, 39, 26, 36. 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? H Chi-square distribution table Degrees of Freedom Area to the Right of the Critical Value 0.995 0.99 0.975 0.95 0.90 0.10 1 0.001 0.004 0.016 2.706 23456 2 0.010 0.020 0.051 0.103 0.211 4.605 3 0.072 0.115 0.216 0.352 0.584 6.251 4 0.207 0.297 0.484 0.711 1.064 7.779 0.412 0.554 0.831 1.145 1.610 9.236 0.676 0.872 1.237 1.635 2.204 10.645 7 0.989 1.239 1.690 2.167 2.833 12.017 8 1.344 1.646 2.180 2.733 3.490 13.362 9 1.735 2.088 2.700 3.325 4.168 14.684 10 10 2.156 2.558 3.247 3.940 4.865 15.987 Print Done 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, 27, 42, 39, 26, 36. 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? H Chi-square distribution table Degrees of Freedom Area to the Right of the Critical Value 0.995 0.99 0.975 0.95 0.90 0.10 1 0.001 0.004 0.016 2.706 23456 2 0.010 0.020 0.051 0.103 0.211 4.605 3 0.072 0.115 0.216 0.352 0.584 6.251 4 0.207 0.297 0.484 0.711 1.064 7.779 0.412 0.554 0.831 1.145 1.610 9.236 0.676 0.872 1.237 1.635 2.204 10.645 7 0.989 1.239 1.690 2.167 2.833 12.017 8 1.344 1.646 2.180 2.733 3.490 13.362 9 1.735 2.088 2.700 3.325 4.168 14.684 10 10 2.156 2.558 3.247 3.940 4.865 15.987 Print Done