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: 30, 28, 48, 38, 29, 27. Use a 0.025 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.)

The critical value is

(Round to three decimal places asneeded.)

State the conclusion.

Reject

Do not reject

H0.

is not

is

sufficient evidence to support the claim that the outcomes are not equally likely. The outcomes

do not appear

appear

to be equallylikely, so the loaded die

appears

does not appear

to behave differently from a fair die.