According to Berford's law, a variety of different data sets includes numbers with leading (first) digits that follow the distribution shown in the nine row of Table 1. The bottom row lists the frequencies of leading digits of the populations of all 120 countries from New York and California combined. Test the claim that those 120 countries have populations with leading digits that follow Benford's law.
|
Leading digit
|
Benford's law:Distibution of leading digit
|
CA and NY country population
|
|
1
|
30.1%
|
33
|
|
2
|
17.6%
|
22
|
|
3
|
12.5%
|
10
|
|
4
|
9.7%
|
15
|
|
5
|
7.9%
|
10
|
|
6
|
6.7%
|
9
|
|
7
|
5.8%
|
5
|
|
8
|
5.1%
|
7
|
|
9
|
4.6%
|
9
|
Table 1
(From Table A-4 the Critical Value for at degree of freedom is 15.507 and .652)