Benford's Law states that the first nonzero digits of numbers drawn at random from a large complex data file have the following probability distribution.t First Nonzero Digit Probability 3 4 8 9. 0.301 0.176 0.125 0.097 0.079 0.067 0.058 0.051 0.046 Suppose that n = 275 numerical entries were drawn at random from a large accounting file of a major corporation. The first nonzero digits were recorded for the sample. First Nonzero Digit Sample Frequency 2 3 8 9. 75 54 33 26 23 18 13 17 16 Use a 1% level of significance to test the claim that the distribution of first nonzero digits in this accounting file follows Benford's Law.
Benford's Law states that the first nonzero digits of numbers drawn at random from a large complex data file have the following probability distribution.t First Nonzero Digit Probability 3 4 8 9. 0.301 0.176 0.125 0.097 0.079 0.067 0.058 0.051 0.046 Suppose that n = 275 numerical entries were drawn at random from a large accounting file of a major corporation. The first nonzero digits were recorded for the sample. First Nonzero Digit Sample Frequency 2 3 8 9. 75 54 33 26 23 18 13 17 16 Use a 1% level of significance to test the claim that the distribution of first nonzero digits in this accounting file follows Benford's Law.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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(a) What is the level of significance?
(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)
What are the degrees of freedom?
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