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.