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Each of the digits in a raffle is thought to have the same chance of occurrence. The table shows the frequency of each digit for

Each of the digits in a raffle is thought to have the same chance of occurrence. The table shows the frequency of each digit for consecutive drawings in a California lottery. Perform the chi-square test to see if you reject the hypothesis at the 0.02 significance level that the digits are from a uniform population.

Digit Frequency Digit Frequency
0 41 5 35
1 40 6 37
2 41 7 32
3 31 8 33
4 38 9 32

a. State the decision rule. Use 0.02 significance level. (Round your answer to 3 decimal places.) H0: The digits are uniformly distributed. H1: The digits are not uniformly distributed.

Reject H0 if chi-square > ___ .

b. Compute the value of chi-square. (Round your answer to 3 decimal places.) Chi-square ___ .

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