The first significant digit in any number must be? 1, 2,? 3, 4,?5, 6,? 7, 8, or 9. It was discovered that first digits do not occurwith equal frequency. Probabilities of occurrence to the firstdigit in a number are shown in the accompanying table. Theprobability distribution is now known as? Benford's Law. For?example, the following distribution represents the first digits in226 allegedly fraudulent checks written to a bogus company by anemployee attempting to embezzle funds from his employer.
Using the table below and a significance level of a=0.01,complete part? (a) below.
| Digit | Probability | Frequency |
| 1 | 0.301 | 36 |
| 2 | 0.176 | 32 |
| 3 | 0.125 | 45 |
| 4 | 0.097 | 20 |
| 5 | 0.079 | 24 |
| 6 | 0.067 | 17 |
| 7 | 0.058 | 9 |
| 8 | 0.051 | 16 |
| 9 | 0.046 | 7 |
(a) What is the test? statistic? (round to three decimal placesas needed)
