A random sample of elementary school children in New York state is to be selected to estimate the proportion p who have received a medical examination during the past year. A random sample of 200 elementary school children indicated that 18 of them had received a medical examination in the past year.a)Find point estimate for p and also construct a 95% confidence interval for p.b) Using the information from the above sample, find the minimum sample size needed to estimate the population proportion p with 99% confidence. The estimate must be accurate to within .02 of p.