Amy works for a company that produces plastic lids and cups for restaurants. She wants to use a one-sample zzz interval 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 100100100 lids from the more than 1{,}0001,0001, comma, 000 total lids produced that day and finds 555 lids in the sample with this defect.