Conduct the hypothesis test and provide the test statistic, critical value and P

Question

Conduct the hypothesis test and provide the test statistic, critical value and P-value, and state the conclusion. A person drilled a hole in die and filled it with a lead weight, then proceed to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively: 28, 31, 50, 41, 27, 23. 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? The test statistic is .

Explanation / Answer

from above test stat=15.52

and p value=0.0084

observed Expected Chi square Probability O E=total*p =(O-E)^2/E 1 1/6 28.00 33.33 0.85 2 1/6 31.00 33.33 0.16 3 1/6 50.00 33.33 8.33 4 1/6 41.00 33.33 1.76 5 1/6 27.00 33.33 1.20 6 1/6 23.00 33.33 3.20 200 200 15.5200

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