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:

29,

31,

46,

42,

29,

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 fair die?

Click here to view the chi-square distribution table.

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Question content area bottom

Part 1

The test statistic is

enter your response here.

(Round to three decimal places as needed.)

Part 2

The critical value is

enter your response here.

(Round to three decimal places as needed.)

Part 3

State the conclusion.

Do not reject

Reject

H0.

There

is

is not

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

appear

do not appear

to be equally likely, so the loaded die

does not appear

appears

to behave differently from a fair die.