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.
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
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 8PPS
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0c6e8786-c773-4652-9a9e-ea05b4c9da3e%2Fa11b8d78-7563-4e75-acd4-ccf1a465e297%2Fe154726_processed.png&w=3840&q=75)
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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