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 0.1 significance level that the digits are from a uniform population.

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20. 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 0.1 significance level that the digits are from a uniform population.
 

Digit Frequency Digit Frequency
0 44 5 44
1 50 6 42
2 42 7 43
3 40 8 45
4 44 9 56

 

a. State the decision rule. Use 0.1 significance level. (Round your answer to 3 decimal places.)
H₂: 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 H₂?
Ho. The digits
evenly distributed.
Transcribed Image Text:a. State the decision rule. Use 0.1 significance level. (Round your answer to 3 decimal places.) H₂: 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 H₂? Ho. The digits evenly distributed.
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