Question

Goalkeeper Jump Left Center Right Kick to Left 53 44 38 Kick to Center 36 13...

Goalkeeper Jump

Left

Center

Right

Kick to Left

53

44

38

Kick to Center

36

13

34

Kick to Right

48

99

56

In​ soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from

291291

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 0.05 significance 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?

Determine the test statistic. chi squaredχ2=

P- Value

Math   Statistics-And-Probability   
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