(a) 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. The survey found that...

Extracted text: (a) 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. The survey found that 405 children were examined during the past year. Construct the 95% confidence interval estimate of the population proportion p if the sample size was n = 500. Give your confidence interval bounds to at least 4 decimal places. < p="">< (b)="" which="" of="" the="" following="" is="" the="" correct="" interpretation="" for="" your="" answer="" in="" part="" (a)?="" a.="" we="" can="" be="" 95%="" confident="" that="" the="" percentage="" of="" all="" elementary="" school="" children="" in="" ny="" who="" have="" received="" medical="" examination="" during="" the="" past="" year="" lies="" in="" the="" interval="" b.="" we="" can="" be="" 95%="" confident="" that="" the="" percentage="" of="" elementary="" school="" children="" in="" the="" sample="" who="" have="" received="" medical="" examination="" during="" the="" last="" year="" lies="" in="" the="" interval="" c.="" there="" is="" a="" 95%="" chance="" that="" the="" percentage="" of="" all="" elementary="" school="" children="" in="" ny="" who="" have="" received="" medical="" examination="" during="" the="" past="" year="" lies="" in="" the="" interval="" d.="" none="" of="" the="">