# SOLUTION: In a three-digit lottery, each of the three digits is supposed to have the same probability of occurrence (counting initial blanks as zeros, e.g., 32 is treated as 032). The table

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: In a three-digit lottery, each of the three digits is supposed to have the same probability of occurrence (counting initial blanks as zeros, e.g., 32 is treated as 032). The table      Log On

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 Algebra: Probability and statistics Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Probability-and-statistics Question 138793: In a three-digit lottery, each of the three digits is supposed to have the same probability of occurrence (counting initial blanks as zeros, e.g., 32 is treated as 032). The table shows the frequency of occurrence of each digit for 90 consecutive daily three-digit drawings. Digit Frequency 0 33 1 17 2 25 3 30 4 31 5 28 6 24 7 25 8 32 9 25 Total 270 Perform the chi-square test for a uniform distribution. At α = .05, can you reject the hypothesis that the digits are from a uniform population?Answer by stanbon(57377)   (Show Source): You can put this solution on YOUR website!In a three-digit lottery, each of the three digits is supposed to have the same probability of occurrence (counting initial blanks as zeros, e.g., 32 is treated as 032). The table shows the frequency of occurrence of each digit for 90 consecutive daily three-digit drawings. Digit Frequency 0 33 1 17 2 25 3 30 4 31 5 28 6 24 7 25 8 32 9 25 Total 270 Perform the chi-square test for a uniform distribution. At α = .05, can you reject the hypothesis that the digits are from a uniform population? Ho: digits are from a uniform population Ha: digits are not from a uniform population ------------ The listed numbers are the Observed values. If the results were from a uniform distribution the Expected values would each be (1/10)*270 = 27 -------------------- Running a Chi-Sq test with a TI calculator I get: Test Statistic: Chi-Sq = 4.15563... p-value = 0.901 ------------------ Conclusion: Since the p-value is greater than 5%, Fail to Reject Ho. The observed results are statistically speaking from a uniform distribution. ========================= Cheers, Stan H.