9 It has been found that \(60 \%\) of the computer chips produced in a factory are faulty. As part of quality control, 100 samples of 4 chips are selected at random, and each chip is tested. The number of faulty chips in each sample is recorded, with the results given in the following table.
| Number of faulty chips | 0 | 1 | 2 | 3 | 4 |
| Number of samples | 2 | 12 | 27 | 49 | 10 |
The expected values for a binomial distribution with parameters \(n = 4\) and \(p = 0.6\) are given in the following table.
| Number of faulty chips | 0 | 1 | 2 | 3 | 4 |
| Expected value | 2.56 | 15.36 | 34.56 | 34.56 | 12.96 |
Show how the expected value 34.56 corresponding to 2 faulty chips is obtained.
Carry out a goodness of fit test at the 5\% significance level, and state what can be deduced from the outcome of the test.