A company manufacturing computer chips wants to estimate the proportion of defective chips manufactured per day.A random sample of 100 chips revealed 4 defects.Assume the conditions are satisfied.SHOW YOUR WORKINGS to four decimal places.

a) build a 95% confidence interval.

b) Interpret your confidence interval.

c) Without calculating another confidence interval, and holding all else constant, would a 90% confidence interval be narrower, the same width or wider than your 95% confidence interval from part a)?Briefly explain.