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:

a. Using α = 0.05, perform a chisquare test to determine if the contact percentage differs among these three pitchers.

b. Confirm your results using p_value.

c. Interpret the meaning of the p_value from p_value.

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