In analyzing data from over 700 games in the National Football League, economist David Romer identified 1068 fourth-down situations in which, based on his analysis, the right call would have been to go for it and not to punt. Nonetheless, in 959 of those situations, the teams punted.
1. Find a 90% confidence interval for the proportion of times NFL teams punt on a fourth down when, statistically speaking, they shouldnât be punting. Assume the sample is reasonably representative of all such fourth down situations in the NFL.