In​ soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 293 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 0.01 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?              Goalkeeper  Jump   Left Center Right Kick to left 51 5 39 Kick to center 42 8 35 Kick to right 47 9 57 1. Determine the null and alternative hypothesis 2. X2 test statistic =  3.  P-value =  4. State the conclusion

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In​ soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 293 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 0.01 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?

             Goalkeeper  Jump
  Left Center Right
Kick to left 51 5 39
Kick to center 42 8 35
Kick to right 47 9 57

1. Determine the null and alternative hypothesis

2. X2 test statistic = 
3.  P-value = 

4. State the conclusion

 

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