8(12 pts). The national average for the percentage of high school graduates taking the SAT is 49%, but the state averages vary from a low of 4% to a high of 92%. A random sample of 300 graduating high school seniors was polled across a particular tri-state area, and it was found that 198 had taken the SAT. (a) What is the best estimate of, p, the true proportion of high school graduates in this region who take the SAT. (b) Construct a 90% confidence interval for p.