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: 26, 31, 50, 37, 29, 27. 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?
Click here to view the chi-square distribution table.
The test statistic is
(Round to three decimal places as needed.)