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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. Frequency 21 2 23 28 4 5 30 30 28 Total 270 picture Cli (a) Calculate the chi-square test statistic, degrees of freedom, and the p-value. (Perform a uniform goodness-of-fit test. Round your test statistic value to 2 decimal places and the p-value to 4 decimal places.) Test statistic d.f. p-value (b) Choose the correct answer by drawing a bar chart for the above data. OThe graph will reveal that 0 occurs least frequently. OThe graph will reveal that 1 occurs least frequently OThe graph will reveal that 4 occurs least frequently. The graph will reveal that 5 occurs least frequently. (c) At a .02, we cannot reject the hypothesis that the digits are from a uniform population. OOTrue False
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