Question

In: Statistics and Probability

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: 26​, 31​, 48​, 40​, 27​, 28. 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 fair​ die?

a. The test statistic is

b. The critical value is

c. The P value is

d. State the conclusion ---h0.  There --- sufficient evidence to support the claim that the outcomes are not equally likely. The outcomes --- to be equally likely, so the loaded die --- to behave differently from a fair die.

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