Conduct the hypothesis test and provide the test statistic and the criticalvalue, and state the conclusion.

A person drilled a hole in a die and filled it with a leadweight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of1, 2,3, 4,5, and6, respectively: 29, 32, 48, 40, 28, 23. 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 fairdie?

***The test statistic is: ________***

(Round to three decimal places asneeded.)