A football coach decides to estimate the kicking accuracy of a player who wants to join the team. Of 10 extra point attempts, the player makes all 10.
a. Find an appropriate 95% confidence interval for the probability that the player makes any given extra point attempt.
b. What’s the lowest value that you think is plausible for that probability?
c. How would you interpret the random sample assumption in this context? Describe a scenario such that it would not be sensible to treat these 10 kicks as a random sample.