MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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An investigator analyzed the leading digits from 794 checks issued by seven suspect companies. The frequencies were found to be 218​, 130​, 106​, 83​, 65​, 48​, 48​, 37​, and 59​, 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 0.025 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:
1) 218 30.10%
2 )130 17.60%
3) 106 12.50%
4) 83 9.70%
5) 65 7.90%
6) 48 6.70%
7) 48 5.80%
8) 37 5.10%
9) 59 4.60%

Calculate the test​ statistic, χ2 =?  ​(Round to three decimal places as​ needed.)

Calculate the​ P-value=? ​(Round to four decimal places as​ needed.)

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