Question

In a​ trial, the defendant was accused of issuing checks to a nonexistent vendor. The amounts of the checks are listed in the accompanying data table in order by row. When testing for​ goodness-of-fit with the proportions expected with​ Benford's law, it is necessary to combine categories because not all expected values are at least 5. Use one category with leading digits of​ 1, a second category with leading digits of​ 2, 3,​ 4, 5, and a third category with leading digits of​ 6, 7,​ 8, 9. Using a

0.05

significance​ level, is there sufficient evidence to conclude that the leading digits on the checks do not conform to​ Benford's law?

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Click the icon to view information and the distribution table for​ Benford's law.

The amounts of the checks			Data table
​$01,595.45	$23,403.75	$29,397.82	$30,175.03	$37,471.29
$43,099.96	$43,639.87	$47,192.88	$57,810.09	$66,514.51
$70,513.56	$71,774.76	$75,638.21	$75,800.54	$79,270.14
$80,934.71	$85,060.72	$85,260.12	$86,736.15	$89,952.41
$93,277.33	$93,774.29

According to​ Benford's law, a variety of different data sets include numbers with leading​ (first) digits that follow the distribution shown in the table below.

Leading Digit	1	2	3	4	5	6	7	8	9
​Benford's law:	​30.1%	​17.6%	​12.5%	​9.7%	​7.9%	​6.7%	​5.8%	​5.1%	​4.6%
distribution of leading digits

Find the test static, P-value, critical value , x to the power 2

Answer 1