a penalty kick in soccer involves two players from different teams, the shooter and the goalie. during the penalty kick the shooter will try to score a goal by kicking a soccer ball to the left or right of the goal area. to prevent the shooter from scoring a goal, the goalie will move to the left or right of the goal area. the following table summarizes the directions taken by the shooter and the goalie for 372 penalty kicks.

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22-10-2021
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a penalty kick in soccer involves two players from different teams, the shooter and the goalie. during the penalty kick the shooter will try to score a goal by kicking a soccer ball to the left or right of the goal area. to prevent the shooter from scoring a goal, the goalie will move to the left or right of the goal area. the following table summarizes the directions taken by the shooter and the goalie for 372 penalty kicks.

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topeadeniran2 topeadeniran2 · Answer 1 · 2021-10-30T16:40:08+02:00

The association that indicates an association between the shooter's choice of direction and the goalie's choice of direction is E. For the goalie, the relative frequency of a direction is not equal to the relative frequency conditioned on the shooter's direction.

From the complete information, the goalie moved left 212 times, this will give a relative frequency of 212/372 = 0.57.

In a situation where there's no association, then the relative frequency of moving left conditioned on the direction that the shooter shoots should be close to 0.57.

However, in this case, 80/165 = 0.49. It can be inferred that the relative frequency of a direction is not equal to the relative frequency conditioned on the shooter's direction.

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