Leading digit	Proportion according to Benford's Law	Frequency of leading digit from 2013 diabetes prevalence data
1	0.301	107
2	0.176	59
3	0.125	38
4	0.097	35
5	0.079	29
6	0.067	20
7	0.058	16
8	0.051	11
9	0.046	10

Benford's Law, also known as the first-digit law, states that in tables of statistics, the digit 1 occurs about 30% of the time, which is greater than the expected 1/9 (for digits 1 through 9). The other digits also have relative frequencies described by Benford's Law, which are included in the Excel sheet for this question. The Excel sheet also includes the summary of the leading digits of 2013 diabetes prevalences for 325 U.S. counties, which will serve as the data of interest.

Conduct a goodness of fit test to determine if the distribution of leading digits follows Benford's Law. You will be using =0.01 to make the decision for this hypothesis test.

1. Find the expected value for the prevalence of the leading digit 6 assuming that the distribution in the sample follows Benford's Law. Answer to three decimal places as needed.

2. The data in the previous question were analyzed. Assuming that a test statistic equal to 4 was found, what would the p-value be for this hypothesis test? Answer to three decimal places as needed.

3. Using the critical value of 13.36, what is your decision as to reject/fail to reject hypothesis give evidence?