Firefighters commonly work in temperatures of 90 to 250 degrees Celsius. In a test of one type of mask, 18 of the 55 masks had the lenses pop out at 120 degrees Celsius.

1. Construct a 97% confidence interval for the true proportion of masks of this

type that will fail at 120 degrees Celsius in this way.

2. What would happen to the width of the interval if you wanted to use your data

to find an interval for p with even greater confidence?