In a Wall Street Journal article titled “Where to Shoot in the Shootout”, 4 data were presented about the direction in which penalty shots were kicked toward soccer goals during all of the World Cups since 1998. The following figure shows these data. For example, a total of 37 penalty shots were directed toward the left corner of the soccer goal, and 25 of them were successful.

a. Using α = 0.05, perform a chisquare test to determine if the number of attempted shots differs across all three segments of the soccer goal.

b. Using α = 0.05, perform a chisquare test to determine if the proportion of successful shots differs across all three segments of the soccer goal.

c. What conclusions can be made about the strategy for attempted penalty shots in soccer?

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