7 Benford's Law states that, in many tables containing large numbers of numerical values, the probability distribution of the leading non-zero digit \(D\) is given by
$$\mathrm { P } ( D = d ) = \log _ { 10 } \left( \frac { d + 1 } { d } \right) , \quad d = 1,2 , \ldots , 9 .$$
The following table shows a summary of a random sample of 100 non-zero leading digits taken from a table of cumulative probabilities for the Poisson distribution.
| Leading digit | 1 | 2 | 3 | 4 | 5 | \(\geqslant 6\) |
| Frequency | 22 | 21 | 13 | 11 | 11 | 22 |
Carry out a suitable goodness of fit test at the 10\% significance level.