Major League Baseball (MLB) records a pitcher’s contact percentage by dividing the number of times batters make contact with the pitches by the number of times they swing at them. The following data represent a sample of this information for three MLB pitchers during the recent season:

Number of Pitches Pitcher Contacts Made Contacts Missed Stephen Strasburg, Nationals 134 76 Clayton Kershaw, Dodgers 129 51 Tim Lincecum, Giants 138 52

a. Using a = 0.05, perform a chi-square test to determine if the contact percentage differs among these three pitchers.

b. Confirm your results using PHStat.

c. Interpret the meaning of the p-value from PHStat.

AppendixLO1