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An investigator analyzed the leading digits from 791 checks issued by seven suspect companies. The frequencies were found to be 1, 12, 0, 83, 408, 255, 6, 24, and 2, and those digits correspond to the leading digits of 1, 2, 3, 4, 5, 6, 7, 8, and 9, respectively. If the observed frequencies are substantially different from the frequencies expected with Benford's law shown below, the check amounts appear to result from fraud. Use a 0.10 significance level to test for goodness-of-fit with Benford's law. Does it appear that the checks are the result of fraud? Leading Digit Actual Frequency Benford's Law: Distribution of Leading Digits 9 83 17.6% 408 7.9% 255 6.7% 30.1% 12.5% 9.7% 5.8% 5.1% 4.6% Determine the null and alternative hypotheses. Họ: The leading digits are from a population that conforms to Benford's law. H: At least one leading digit has a frequency that does not conform to Benford's law. Calculate the test statistic, . x= (Round to three decimal places as needed.)

An investigator analyzed the leading digits from 791 checks issued by seven suspect companies. The frequencies were found to be 1, 12, 0, 83, 408, 255, 6, 24, and 2, and those digits correspond to the leading digits of 1, 2, 3, 4, 5, 6, 7, 8, and 9, respectively. If the observed frequencies are substantially different from the frequencies expected with Benford's law shown below, the check amounts appear to result from fraud. Use a 0.10 significance level to test for goodness-of-fit with Benford's law. Does it appear that the checks are the result of fraud? Leading Digit Actual Frequency Benford's Law: Distribution of Leading Digits 9 83 17.6% 408 7.9% 255 6.7% 30.1% 12.5% 9.7% 5.8% 5.1% 4.6% Determine the null and alternative hypotheses. Họ: The leading digits are from a population that conforms to Benford's law. H: At least one leading digit has a frequency that does not conform to Benford's law. Calculate the test statistic, . x= (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Calculate the test statistic. 

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An investigator analyzed the leading digits from 791 checks issued by seven suspect companies. The frequencies were found to be 1, 12, 0, 83, 408, 255, 6, 24, and 2, and those digits correspond to the leading digits of 1, 2, 3, 4, 5, 6, 7, 8, and 9, respectively. If the observed frequencies are substantially different from the frequencies expected with Benford's law shown below, the check amounts appear to result from fraud. Use a 0.10 significance level to test for goodness-of-fit with Benford's law. Does it appear that the checks are the result of fraud? Leading Digit Actual Frequency Benford's Law: Distribution of Leading Digits 1 3 4 7 8. 9. 1 12 83 408 255 6. 24 2 30.1% 17.6% 12.5% 9.7% 7.9% 6.7% 5.8% 5.1% 4.6% Determine the null and alternative hypotheses. Ho: The leading digits are from a population that conforms to Benford's law. H4: At least one leading digit has a frequency that does not conform to Benford's law. Calculate the test statistic, x. x2 = (Round to three decimal places as needed.)
Transcribed Image Text:An investigator analyzed the leading digits from 791 checks issued by seven suspect companies. The frequencies were found to be 1, 12, 0, 83, 408, 255, 6, 24, and 2, and those digits correspond to the leading digits of 1, 2, 3, 4, 5, 6, 7, 8, and 9, respectively. If the observed frequencies are substantially different from the frequencies expected with Benford's law shown below, the check amounts appear to result from fraud. Use a 0.10 significance level to test for goodness-of-fit with Benford's law. Does it appear that the checks are the result of fraud? Leading Digit Actual Frequency Benford's Law: Distribution of Leading Digits 1 3 4 7 8. 9. 1 12 83 408 255 6. 24 2 30.1% 17.6% 12.5% 9.7% 7.9% 6.7% 5.8% 5.1% 4.6% Determine the null and alternative hypotheses. Ho: The leading digits are from a population that conforms to Benford's law. H4: At least one leading digit has a frequency that does not conform to Benford's law. Calculate the test statistic, x. x2 = (Round to three decimal places as needed.)
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