During the 2018 MLB season, there were 105,558 plate appearances with the bases empty and there were 78,652 plate appearances with runners on base; both values exclude intentional walks and the data are taken from www.baseball-reference.com. 3,316 home runs were hit with the bases empty and 2,269 home runs were hit with runners on base. Let pE denote the proportion of plate appearances with the bases empty that result in a home run and let pR denote the proportion of plate appearances with runners on base that result in a home run. Using the data described in this exercise, calculate pE  pR and find its margin of error. Based on these results, does it appear that, in general, batters are more likely to hit a home run if the bases are empty? Why or why not