Question: Over the last few years, the team “Blind As Bats” has been crushing its competition in the NYMSATYC team trivia/problem solving contest. As the organizer of the contest, Kate wonders if the participants are having as much fun given the presence of this dominant team (all of whom wear glasses, and occasionally trash talk). Kate randomly selects 48 participants from this year, and finds that 35 of them had a good time. Construct a 95% confidence interval for the percentage of participants that had a good time. When the contest first started, 87% of participants had a good time; is there evidence to suggest that value is now lower? Explain.