Name: Answer all questions and show all of your work. 1. The preference for bananas has been asked to 100 students. 80% of them answered that they like bananas. Find a 95% confidence interval for the proportion for the preference of bananas. (a) What is the best point estimate of the proportion? (b) What is the critical value? (c) Find the margin of error. (d) Construct a 95% confidence interval. 2. If a 99% confidence interval for a proportion is (0.46, 0.86), find the point estimate of p and the margin of error E