During the 2019 baseball season the Braves won 50 of their 81 games played at home and 44 of their 81 games played away. Consider the 162 games played last year to be a random sample of all games played by the Braves in the history of the organization. Most people think there is a home field advantage in sports.

a) Is there significant evidence at the 5% level of significance that the braves overall win a higher proportion of their home games than they do on the road?

b) Calculate a 95% confidence interval to estimate the difference in games won at home versus games won on the road. Does your interval support the decision you made in part a? (Calculations only)