Data from the UEFA , Union of European Football Associations, shows that during the 2000, 2004, 2008, 2012, and 2016 knockout stages of the European Championships in soccer a total of 104 penalty shots were taken during penalty shootouts. The following figure shows the data for the placements of the shots. For example, a total of 43 penalty shots were directed toward the left corner of the soccer goal, and 32 of them were successful.

a. Using ? = 0.05, perform a chi-square test to determine if the number of attempted shots differs across all three segments of the soccer goal.

b. Using ? = 0.05, perform a chi-square 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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32 of 43 20 of 27 22 of 34