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A six-sided die is rolled 30 times, and the numbers 1 through 6 appear as shown...

A six-sided die is rolled 30 times, and the numbers 1 through 6 appear as shown in the following frequency distribution.

Outcome Frequency Outcome Frequency
1 2 4 8
2 8 5 7
3 1 6 4

a. State the decision rule. Use 0.05 significance level. Appendix B.6. (Round the final answer to 3 decimal places.)

H0: The frequencies are the same.

H1: The frequencies are not the same.

Reject H0 if 2 > _________

b. Compute the value of chi-square. (Round the final answer to 2 decimal places.)

Chi-square value _______

c. What is your decision regarding H0? Can we conclude that the die is fair?

(Click to select)  Do not reject  Reject  H0. We  (Click to select)  cannot reject  can reject  H0 that frequencies  (Click to select)  are the same  are not the same  .

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