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: 28, 29, 49, 41, 27, 26. Use a 0.10 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?

1)

The test statistic is

(Round to three decimal places asneeded.)

2)

The critical value is

(Round to three decimal places asneeded.)

3)

State the conclusion.

Reject or Do not reject H0. There is or not is sufficient evidence to support the claim that the outcomes are not equally likely. The outcomes appear or do not appear to be equallylikely, so the loaded die does not appear appears to behave differently from a fair die.