Question

Conduct the hypothesis test and provide the test statistic and the critical value, and state the...

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: 28, 27, 40, 38, 26, 41. 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.

(1) __________ Ho . There (2) __________ sufficient evidence to support the claim that the outcomes are not equally likely. The outcomes (3) __________ to be equally likely, so the loaded die (4) __________ to behave differently from a fair die.

(1) Do not reject
Reject
(2) is
is not
(3) appear
do not appear
(4) does not appear
appears