Amy works for a company that produces plastic lids and cups for restaurants. She wants to estimate what proportion of lids produced in a day have a defect that makes them not fit the cups. She takes a random sample
of 250 lids from the more than 10,000 total lids produced that day and finds 15 lids in the sample with this
defect.
Based on this sample, which of the following is a 99% confidence interval for the proportion of lids produced
that day with this defect?