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.