Suppose 145 stock market mutual funds are chosen at random and their results for the most recent year are recorded. Of these, after fees and expenses, 37 of them earned their investors a return higher than the stock market as a whole. (Note for those interested in investing: this is a pretty realistic figure. Most mutual funds fail to overperform the broader market in a year.)
What is the 92% confidence interval for the population proportion of mutual funds that have a return higher than the stock market as a whole?