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In​ soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper....

In​ soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 309 kicks during games among top teams. In the​ table, jump direction indicates which way the goalkeeper​ jumped, where the kick direction is from the perspective of the goalkeeper. Use a 0.01significance level to test the claim that the direction of the kick is independent of the direction of the goalkeeper jump. Do the results support the theory that because the kicks are so​ fast, goalkeepers have no time to​ react, so the directions of their jumps are independent of the directions of the​ kicks?

Goalkeeper Jump

Left Center Right
Kick to Left 56 5 41
Kick to Center 44 8 35
Kick to Right 47 9 64
Math   Statistics-And-Probability   
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Answer #1

H0: Directions of their jumps are independent of the directions of the​ kicks

H1: Directions of their jumps are NOT independent of the directions of the​ kicks

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