A sports psychologist tests a new coaching method and finds

Last updated: 7/18/2022

A sports psychologist tests a new coaching method and finds that of the 43 novice athletes who were trained under the new method, they only froze/choked when in high stakes competition 3.5% of the time. If it is known that all novice athletes tend to freeze/choke 6% of the time when in high stakes competition (with a 3.2% average variation from the mean), what would the expected rate of all novice athletes trained using the new coaching method with 92% confidence? Question What is the lower bound estimate for how often all novice athletes would choke if trained under the new method?