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Benford's Law claims that numbers chosen from very large data files tend to have "1" as...

Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n=265 numerical entries from the file and r=65 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. Test the claim that p is less than 0.301 by using α = 0.01. What is the value of the test statistic? Round your answer to three decimal places. ​ Select one: a. –1.977 b. 1.977 c. –0.121 d. 0.121 e. –32.189

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Answer)

Claimed p = 0.301

Observed p = 65/265

Test statistics is = (observed p - claimed p)/standard error

Standard error = √{claimed p*(1-claimed p)}/√n

N = 265

After substitution

Test statistics is = -1.977

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