In: Statistics and Probability
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.