A board game club meets each week at the local library. People bring different board games to play, like checkers and chess. Out of 50 people that meet each week, 67% prefer to play checkers over chess. Construct an 83% confidence interval for the population mean of people that prefer to play checkers over chess.
A. CI = (57.89%, 76.14%)
B. CI = (56.06%, 77.94%)
C. CI = (53.97%, 80.03%)
D. CI = (49.88%, 84.12%)