1. Michael Scott, regional manager at Dunder Mifflin Scranton, bought a coin from a magic shop that is designed to flip heads much more often than tails. Dwight Schrute, his employee, wants to estimate the proportion of all flips of this coin that will be heads. In 400 flips of the coin Dwight flipped heads 312 times. Construct and interpret the 90% confidence interval for the population proportion of flips that will be heads. Show at least 2 decimal digits in your endpoints.