Problem: 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 to make the decision for this hypothesis test.
Find the expected value for the prevalence of the leading digit 4 assuming that the distribution in the sample follows Benford's Law. Answer to three decimal places as needed.