When games were sampled from throughout a season, it was found that the home team won 127 of 198 professional basketball games, and the home team won 57 of 99 professional football games (based on data from "Predicting Professional Sports Game Outcomes from Intermediate Game Scores," by Cooper et al., Chance, Vol. 5, No. 3-4). Construct a 95% confidence interval for the difference between the proportions of home wins. Do the confidence interval limits contain 0? Based on the results, is there a significant difference between the proportions of home wins? What do you conclude about the home field advantage?