In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 277 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 dependent on kick direction. H: Jump direction is independent of kick direction. Goalkeeper Jump Center Right 37 Left O B. Ho: Goalkeepers jump in the direction of the kick. H: Goalkeepers do not jump in the direction of the kick. Kick to Left Kick to Center 58 1 39 9 28 Kick to Right 41 9 55 OC. Ho: Jump direction is independent of kick direction. H,: Jump direction is dependent on kick direction. O D. Ho: Goalkeepers do not jump in the direction of the kick. H: Goalkeepers jump in the direction of the kick. Print Done Determine the test statistic. |(Round to three decimal places as needed.) Determine the P-value of the test statistic. |(Round to four decimal places as needed.) P-value = 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 react.

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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 277 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
view the penalty kick data.
- X
Determine the null and alternative hypotheses.
Pentalty kick data
O A. Ho: Jump direction is dependent on kick direction.
H: Jump direction is independent
kick direction.
Goalkeeper Jump
|Center Right
37
28
Left
O B. H: Goalkeepers jump in the direction of the kick.
Kick to Left
58
1
H: Goalkeepers do not jump in the direction of the kick.
Kick to Center
39
9
OC. Ho: Jump direction is independent of kick direction.
Kick to Right
41
9
55
H1: Jump direction is dependent on kick direction.
O D. Hn: Goalkeepers do not jump in the direction of the kick.
H: Goalkeepers jump in the direction of the kick.
Print
Done
Determine the test statistic.
(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 react.
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 277 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 view the penalty kick data. - X Determine the null and alternative hypotheses. Pentalty kick data O A. Ho: Jump direction is dependent on kick direction. H: Jump direction is independent kick direction. Goalkeeper Jump |Center Right 37 28 Left O B. H: Goalkeepers jump in the direction of the kick. Kick to Left 58 1 H: Goalkeepers do not jump in the direction of the kick. Kick to Center 39 9 OC. Ho: Jump direction is independent of kick direction. Kick to Right 41 9 55 H1: Jump direction is dependent on kick direction. O D. Hn: Goalkeepers do not jump in the direction of the kick. H: Goalkeepers jump in the direction of the kick. Print Done Determine the test statistic. (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 react.
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