This exercise is a "what if analysis" designed to determine what happens to the test statistics and interval estimates when elements of the statistical inference change. This can be solved manually or on Excel with Test statistics or Estimators workbook.
a) In a random sample of 500 observations, we found the proportion of successes to be 48%. Estimate with 95% confidence the population proportion of successes.
b) Repeat part a with n= 200
c) Repeat part a with n= 1000
d) Describe the effect on the confidence interval estimate of increasing the sample size.