In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 281 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? Click the icon to view the penalty kick data. OD

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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 281 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?
Click the icon to view the penalty kick data.
Determine the null and alternative hypotheses
OA H Jump direction is independent of kick direction.
H₁: Jump direction is dependent on kick direction.
OB. H: Goalkeepers jump in the direction of the kick
H, Goalkeepers do not jump in the direction of the kick
OC. H: Goakeepers do not jump in the direction of the kick
H₁: Goalkeepers jump in the direction of the kick
OD. H Jump direction is dependent on kick direction.
H, Jump direction is independent of kick direction
CETTE
Determine the test statistic
x²(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
the theory that
evidence to warrant rejection of the claim that the direction of the kick is independent of the direction of the goalkeeper jump. The results
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 281 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? Click the icon to view the penalty kick data. Determine the null and alternative hypotheses OA H Jump direction is independent of kick direction. H₁: Jump direction is dependent on kick direction. OB. H: Goalkeepers jump in the direction of the kick H, Goalkeepers do not jump in the direction of the kick OC. H: Goakeepers do not jump in the direction of the kick H₁: Goalkeepers jump in the direction of the kick OD. H Jump direction is dependent on kick direction. H, Jump direction is independent of kick direction CETTE Determine the test statistic x²(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 the theory that evidence to warrant rejection of the claim that the direction of the kick is independent of the direction of the goalkeeper jump. The results because the kicks are so fast, goalkeepers have no time to react
Pentalty Kick Data
Kick to Left
Kick to Center
Kick to Right
Print
Goalkeeper Jump
Left Center Right
50
0
43
37
12
32
40
5
62
Done
-
X
Transcribed Image Text:Pentalty Kick Data Kick to Left Kick to Center Kick to Right Print Goalkeeper Jump Left Center Right 50 0 43 37 12 32 40 5 62 Done - X
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