8 A factory produces china mugs. Random samples of size 6 are selected at regular intervals, and the mugs are inspected for defects. During one week, 100 samples are selected and the numbers of defective mugs found are summarised in the following table.
| Number of defective mugs | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
| Number of samples | 11 | 43 | 35 | 8 | 2 | 1 | 0 |
Fit a binomial distribution to the data and carry out a goodness of fit test at the 5\% significance level.