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In a four-digit lottery, each of the four digits is supposed to have the same probability of occurrence. The table shows the frequency of occurrence

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In a four-digit lottery, each of the four digits is supposed to have the same probability of occurrence. The table shows the frequency of occurrence of each digit for 68 consecutive daily four-digit drawings. Digit Frequency 19 30 26 26 45 35 17 18 20 36 Total 272 mummbuNHo \\D Click here for the Excel Data File (a) The hypothesis for the given issue is Ho: The digits come from a uniform population. 0 Yes 0 No (b) Calculate the chi-square test statistic, degrees of freedom, and the p-value. (Round your test statistic value to 2 decimal places and the p-value to 4 decimal places.) Test statistic Degrees of freedom p-value (c) Find the critical value of the chi-square for a = .01. (Round your answer to 2 decimal places.) Critical value (d) At a = .01, can you reject the hypothesis that the digits are from a uniform population? O Yes O No

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