In a four-digit lottery, each of the four digits is supposed to have the same probability...

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In a four-digit lottery, each of the four digits is supposed tohave the same probability of occurrence. The table shows thefrequency of occurrence of each digit for 83 consecutive dailyfour-digit drawings. Digit Frequency 0 26 1 32 2 27 3 40 4 31 5 316 33 7 44 8 33 9 35 Total 332 Click here for the Excel DataFile

(a) The hypothesis for the given issue is H0: The digits comefrom a uniform population. No Yes

(b) Calculate the chi-square test statistic, degrees of freedom,and the p-value. (Round your test statistic value to 2 decimalplaces and the p-value to 4 decimal places.) Test statistic d.f.p-value

(c) Find the critical value of the chi-square for α = .01.(Round your answer to 2 decimal places.) Critical value

(d) At α = .01, can you reject the hypothesis that the digitsare from a uniform population? Yes No

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4.2 Ratings (639 Votes)
Hypothesis H0The digits come from a uniform populationVsH1The digits does not come from a uniform populationExpected Feq33210332 timesTest Statistics80602Calculation DigitOriginal FrqOExpected Frq    See Answer
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