Out of 67,410 surgeries tracked in a study in the U.K. 2832 were followed by surgical site infections (Coello et. al 2005).
a. Compute a 95% confidence interval for the proportion of surgeries follrowed by surgical site infections in the U.K.? Assume that the data are a random sample.
b. If the study had folllowed a total of only 674 surgeries from the same population, would the confidence interaval have been wider of narrower?