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Answer 1. Reject H0. There is sufficient evidence to warrant rejection of the cl

ID: 3358430 • Letter: A

Question

Answer

1.  Reject H0. There is 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 does appear that the checks are the result of fraud.
2.  Ho: The leading digits are from a population that conforms to Benford's law.

H1: At least one leading digit has a frequency that does not conform to Benford's law.
3.  
X2 = 11.705
4.  P-value = 0.3620

Leading Digit Actual Frequency Benford's Law. Distribution of Leading Digits 4 5 9 216 148 84 89 57 60 46 43 30.1% 5760 443 32 5.8% 17.6% 12.5% 9.7% 7.9% 6.7% 5.1% 4.6%

Explanation / Answer

Ans:

2 and 4 are correct.

Explanantion:

Ho: The leading digits are from a population that conforms to Benford's law.

H1: At least one leading digit has a frequency that does not conform to Benford's law.

(2 is correct)

3)ch square=8.770

So, 3 is incorrect.

df=9-1=8

p-value=CHIDIST(8.770,8)=0.3620

(4 is correct)

As,p-value>0.05,we fail to reject H0.

(1 is incorrect)

Obserevd(O) p Expected(E)=p*775 (O-E)^2/E 1 216 0.301 233.275 1.279 2 148 0.176 136.4 0.987 3 84 0.125 96.875 1.711 4 89 0.097 75.175 2.542 5 57 0.079 61.225 0.292 6 60 0.067 51.925 1.256 7 46 0.058 44.95 0.025 8 43 0.051 39.525 0.306 9 32 0.046 35.65 0.374 Total 775 1 775 8.770