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 0.01 significance level that the digits are from a uniform population.
Digit | Frequency | Digit | Frequency |
0 | 28 | 5 | 30 |
1 | 30 | 6 | 28 |
2 | 29 | 7 | 25 |
3 | 24 | 8 | 27 |
4 | 32 | 9 | 37 |
State the decision rule. Use 0.01 significance level. (Round your answer to 3 decimal places.)
H0: The digits are uniformly distributed.
H1: The digits are not uniformly distributed.
Compute the value of chi-square. (Round your answer to 3 decimal places.)
What is your decision regarding H0?
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