(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 $x = 800$ children were examined during the past year. Construct the $95$% confidence interval estimate of the population proportion $p$ if the sample size was $n = 1000$ .

$< p <$

(b) Which of the following is the correct interpretation for your answer in part (a)?

Your overall score for this problem is