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An investigator analyzed the leading digits from 771 checks issued by seven suspect companies. The frequencies were found to be 5, 10, 0, 61, 320, 322, 5, 17, and 31, 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 0.01 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 21 10 17.6% 61 9.7% 320 7.9% 322 6.7% 17 30.1% 31 4.6% 12.5% 5.8% 5.1% Determine the null and alternative hypotheses. Ho Calc The leading digits are from a population that conforms to Benford's law. Al least two leading digits have frequencies that do not conform to Benford's law. Calc At most three leading digits have frequencies that do not conform to Benford's law. P-va State At least one leading digit has a frequency that does not conform to Benford's law. V Họ. There V sufficient evidence to warrant rejection of the claim that the leading digits are from a population with a distribution that conforms to Benford's law. it V that the checks are the result of fraud.

An investigator analyzed the leading digits from 771 checks issued by seven suspect companies. The frequencies were found to be 5, 10, 0, 61, 320, 322, 5, 17, and 31, 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 0.01 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 21 10 17.6% 61 9.7% 320 7.9% 322 6.7% 17 30.1% 31 4.6% 12.5% 5.8% 5.1% Determine the null and alternative hypotheses. Ho Calc The leading digits are from a population that conforms to Benford's law. Al least two leading digits have frequencies that do not conform to Benford's law. Calc At most three leading digits have frequencies that do not conform to Benford's law. P-va State At least one leading digit has a frequency that does not conform to Benford's law. V Họ. There V sufficient evidence to warrant rejection of the claim that the leading digits are from a population with a distribution that conforms to Benford's law. it V that the checks are the result of fraud.

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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An investigator analyzed the leading digits from 771 checks issued by seven suspect companies. The frequencies were found to be 5, 10, 0, 61, 320, 322, 5, 17, and 31, 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 0.01 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 4 8. 10 17.6% 61 9.7% 320 7.9% 322 6.7% 17 5.1% 31 4.6% 30.1% 12.5% 5.8% Determine the null and alternative hypotheses. Ha Calo The leading digits are from a population that conforms to Benford's law. At least two leading digits have frequencies that do not conform to Benford's law Calo At most three leading digits have frequencies that do not conform to Benford's law. P-va State At least one leading digit has a frequency that does not conform to Benford's law. V Ho. There V sufficient evidence to warrant rejection of the claim that the leading digits are from a population with a distribution that conforms to Benford's law. It V that the checks are the result of fraud.
Transcribed Image Text:An investigator analyzed the leading digits from 771 checks issued by seven suspect companies. The frequencies were found to be 5, 10, 0, 61, 320, 322, 5, 17, and 31, 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 0.01 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 4 8. 10 17.6% 61 9.7% 320 7.9% 322 6.7% 17 5.1% 31 4.6% 30.1% 12.5% 5.8% Determine the null and alternative hypotheses. Ha Calo The leading digits are from a population that conforms to Benford's law. At least two leading digits have frequencies that do not conform to Benford's law Calo At most three leading digits have frequencies that do not conform to Benford's law. P-va State At least one leading digit has a frequency that does not conform to Benford's law. V Ho. There V sufficient evidence to warrant rejection of the claim that the leading digits are from a population with a distribution that conforms to Benford's law. It V that the checks are the result of fraud.
An investigator analyzed the leading digits from 771 checks issued by seven suspect companies. The frequencies were found to be 5, 10, 0, 61, 320, 322, 5, 17, and 31, 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 0.01 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 3. 4 10 17.6% 322 6.7 % 17 5.1% 61 320 7.9% 31 4.6% 30.1% 12.5% 9.7% 5.8% Determine the null and alternative hypotheses. Ho Calc The leading digits are from a population that conforms to Benford's law. Calo At least two leading digits have frequencies that do not conform to Benford's law. P-va At least one leading digit has a frequency that does not conform to Benford's law. State At most three leading digits have frequencies that do not conform to Benford's law. ng digits are from a population with a distribution that conforms to Benford's law. It V that the checks are the result of fraud.
Transcribed Image Text:An investigator analyzed the leading digits from 771 checks issued by seven suspect companies. The frequencies were found to be 5, 10, 0, 61, 320, 322, 5, 17, and 31, 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 0.01 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 3. 4 10 17.6% 322 6.7 % 17 5.1% 61 320 7.9% 31 4.6% 30.1% 12.5% 9.7% 5.8% Determine the null and alternative hypotheses. Ho Calc The leading digits are from a population that conforms to Benford's law. Calo At least two leading digits have frequencies that do not conform to Benford's law. P-va At least one leading digit has a frequency that does not conform to Benford's law. State At most three leading digits have frequencies that do not conform to Benford's law. ng digits are from a population with a distribution that conforms to Benford's law. It V that the checks are the result of fraud.
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