n soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 284 kicks during games among top teams. In the table, jump direction indicates which way the goalkeeper umped, 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? E Click the icon to view the penalty kick data. Determine the null and alternative hypotheses. Pentalty kick data O A. Ho: Jump direction is independent of kick direction. H: Jump direction is dependent on kick direction. O B. Ho: Goalkeepers jump in the direction of the kick. H,: Goalkeepers do not jump in the direction of the kick Goalkeeper Jump Center Right Left Kick to Left 55 39 Kick to Center 37 34 O C. Ho: Goalkeepers do not jump in the direction of the kick. H,: Goalkeepers jump in the direction of the kick Kick to Right 46 56 O D. Ho: Jump direction is dependent on kick direction. H: Jump direction is independent of kick direction. Print Done Determine the test statistic. 2= (Round to three decimal places as needed.) Determine the P-value of the test statistic. P-value = (Round to four decimal places as needed.) 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? There is V evidence to warrant rejection of the claim that the direction of the kick is independent of the direction of the goalkeeper jump. The results v the theory that because the kicks are so fast, goalkeepers have no time to

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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 284 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?
E Click the icon to view the penalty kick data.
Determine the null and alternative hypotheses.
Pentalty kick data
O A. Ho: Jump direction is independent of kick direction.
H1: Jump direction is dependent on kick direction.
Goalkeeper Jump
Right
O B. Ho: Goalkeepers jump in the direction of the kick.
Left
Center
H,: Goalkeepers do not jump in the direction of the kick.
Kick to Left
55
3
39
Kick to Center
37
8
34
O C. Ho: Goalkeepers do not jump in the direction of the kick.
Kick to Right
46
6
56
H,: Goalkeepers jump in the direction of the kick.
O D. Ho: Jump direction is dependent on kick direction.
H1: Jump direction is independent of kick direction.
Print
Done
Determine the test statistic.
x = (Round to three decimal places as needed.)
Determine the P-value of the test statistic.
P-value = (Round to four decimal places as needed.)
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?
There is
V evidence to warrant rejection of the claim that the direction of the kick is independent of the direction of the goalkeeper jump. The results
the theory that because the kicks are so fast, goalkeepers have no time to
Transcribed Image Text:In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 284 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? E Click the icon to view the penalty kick data. Determine the null and alternative hypotheses. Pentalty kick data O A. Ho: Jump direction is independent of kick direction. H1: Jump direction is dependent on kick direction. Goalkeeper Jump Right O B. Ho: Goalkeepers jump in the direction of the kick. Left Center H,: Goalkeepers do not jump in the direction of the kick. Kick to Left 55 3 39 Kick to Center 37 8 34 O C. Ho: Goalkeepers do not jump in the direction of the kick. Kick to Right 46 6 56 H,: Goalkeepers jump in the direction of the kick. O D. Ho: Jump direction is dependent on kick direction. H1: Jump direction is independent of kick direction. Print Done Determine the test statistic. x = (Round to three decimal places as needed.) Determine the P-value of the test statistic. P-value = (Round to four decimal places as needed.) 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? There is V evidence to warrant rejection of the claim that the direction of the kick is independent of the direction of the goalkeeper jump. The results the theory that because the kicks are so fast, goalkeepers have no time to
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