Passing the ball between two players during a soccer game is a critical skill for the success of a team. A random sample of passes made by the English and German teams in a recent World Cup was drawn, and the number of successful passes in each sample was counted. The data are as follows:

Germany                    England

x₁ = 69 ………..          x₂ = 71

n₁ = 76 …………        n₂ = 91

a. Construct a 90% confidence interval to estimate the difference in accuracy between the German and English passes. What conclusions can be made?

b. Verify your results using PHStat.