Question

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=402 numerical
entries from the file and r=102 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 a=0.01. Are the data statistically significant at
the significance level? Based on your answers, will you reject or
fail to reject the null hypothesis?

Group of answer choices

The *P*-value is less than the level of significance so
the data are not statistically significant. Thus, we reject the
null hypothesis.

The *P*-value is greater than the level of significance
so the data are not statistically significant. Thus, we reject the
null hypothesis.

The *P*-value is less than the level of significance so
the data are statistically significant. Thus, we reject the null
hypothesis.

The *P*-value is greater than the level of significance
so the data are not statistically significant. Thus, we fail to
reject the null hypothesis.

The *P*-value is greater than the level of significance
so the data are statistically significant. Thus, we fail to reject
the null hypothesis.

Answer #1

The statistical software output for this problem is:

From the above output:

p - Value = 0.0194

This p - Value is greater than 0.01 significance level. So,

The *P*-value is greater than the level of significance
so the data are not statistically significant. Thus, we fail to
reject the null hypothesis.

**Option D** is correct.

Recall that 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.
Now suppose you are an auditor for a very large corporation. The
revenue report involves millions of numbers in a large computer
file....

Recall that 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.
Now suppose you are an auditor for a very large corporation. The
revenue report involves millions of numbers in a large computer
file....

Recall that 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.
Now suppose you are an auditor for a very large corporation. The
revenue report involves millions of numbers in a large computer
file....

Recall that 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.
Now suppose you are the auditor for a very large corporation. The
revenue file contains millions of numbers in a large computer data...

Recall that 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.
Now suppose you are the auditor for a very large corporation. The
revenue file contains millions of numbers in a large computer data...

Recall that 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.
Now suppose you are the auditor for a very large corporation. The
revenue file contains millions of numbers in a large computer data...

A professional employee in a large corporation receives an
average of u=40 e-mails per day. Most of these e-mails are from
other employees in the company. Because of the large number of
e-mails, employees find themselves distracted and are unable to
concentrate when they return to their tasks. In an effort to reduce
distraction caused by such interruptions, one company established a
priority list that all employees were to use before sending an
e-mail. One month after the new priority...

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