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Benford's law states that the probability distribution of the first digits of many items leg. populations and expenses} is not uniform, but has the probabilities

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Benford's law states that the probability distribution of the first digits of many items leg. populations and expenses} is not uniform, but has the probabilities shown in this table. Business expenses tend to follow Benford's Law, because there are generally more small expenses than large expenses. Perform a "Goodness of Fit" Chi-Squared hypothesis test [CE = 0.05] to see if these values are consistent with Benford's Law. If they are not consistent, it there might be embezzelment. Complete this table. The sum of the observed frequencies is 81 Observed Expected X Frequency (Cou nts} Benford's Law PIX) Frequency {Counts} FF- EE-os .046 Report all answers accurate to three decimal places. What is the chi-square test-statistic for tris data? {Report answer accurate to three decimal places.) x2=i | What is the Pvalue for this sample? {Report answer accurate to 3 decimal places.) Pvalue =l I The P-value is... '73 less than [or equal to] a '73 greater than or This PValue leads to a decision to... {3' reject the null hypothesis 53' fail to reject the null hypothesis As such, the final conclusion is that... '73 There is sufficient evidence to warrant rejection of the claim that these expenses are consistent with Benford's Law.. '73 There is not sufficient evidence to warrant rejection of the claim that these expenses are consistent with Benford's Law

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