Question
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 0.05 significance level that the digits are from a uniform population.
Digit | Frequency | Digit | Frequency |
0 | 46 | 5 | 42 |
1 | 48 | 6 | 31 |
2 | 44 | 7 | 36 |
3 | 52 | 8 | 38 |
4 | 42 | 9 | 22 |
a. State the decision rule. Use 0.05 significance level. (Round your answer to 3 decimal places.) H0: The digits are uniformly distributed. H1: The digits are not uniformly distributed.
Reject Ho if chi-square > _________
b. Compute the value of chi-square. (Round your answer to 3 decimal places.)
Chi-square = _________
c. What is your decision regarding H0? ____(Reject/Do Not Reject)___ Ho. The digits ___(are/are not)___ evenly distributed
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