Automobile mechanics conduct diagnostic tests on 150 new cars of particular make and model to determine the extent to which they are affected by a recent recall due to faulty catalytic converters. They find that 42 of the new cars tested do have faulty catalytic converters. What is the margin of error for a 99% confidence interval based on these sample results?
0.2876
0.1140
0.0719
0.0944
0.0366