Q. 3. Consider the sample of 1,400 past negligence cases. Suppose you are willing to let the 67% estimate be within .025 (2.5%) of the true proportion. You are willing to assume a 95% confidence.

a. Is 1,400 an adequate sample size for the estimate of 67%? Show why or why not.

b. Construct a 95% confidence interval on the estimate of 67%. How would you interpret it?