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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
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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 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 36 5 38
1 32 6 38
2 34 7 38
3 31 8 30
4 33 9 30
 
a. State the decision rule. Use 0.02 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?
Do not reject
Ho. The digits are
evenly distributed.
Transcribed Image Text:a. State the decision rule. Use 0.02 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? Do not reject Ho. The digits are evenly distributed.
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