In​ soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 312 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? LOADING... Click the icon to view the penalty kick data. Determine the null and alternative hypotheses.     A. H0​: Jump direction is independent of kick direction. H1​: Jump direction is dependent on kick direction.   B. H0​: Jump direction is dependent on kick direction. H1​: Jump direction is independent of kick direction.   C. H0​: Goalkeepers do not jump in the direction of the kick. H1​: Goalkeepers jump in the direction of the kick.   D. H0​: Goalkeepers jump in the direction of the kick. H1​: Goalkeepers do not jump in the direction of the kick. Determine the test statistic.   χ2=nothing ​(Round to three decimal places as​ needed.) Determine the​ P-value of the test statistic.   ​P-value=nothing ​(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 ▼   sufficient insufficient evidence to warrant rejection of the claim that the direction of the kick is independent of the direction of the goalkeeper jump. The results ▼   do not support support the theory that b Goalkeeper Jump     Left Center Right   Kick to Left 60 2 41   Kick to Center 40 12 35   Kick to Right 50 10 62 ecause 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
312
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?
LOADING...
Click the icon to view the penalty kick data.
Determine the null and alternative hypotheses.
 
 
A.
H0​:
Jump direction is independent of kick direction.
H1​:
Jump direction is dependent on kick direction.
 
B.
H0​:
Jump direction is dependent on kick direction.
H1​:
Jump direction is independent of kick direction.
 
C.
H0​:
Goalkeepers do not jump in the direction of the kick.
H1​:
Goalkeepers jump in the direction of the kick.
 
D.
H0​:
Goalkeepers jump in the direction of the kick.
H1​:
Goalkeepers do not jump in the direction of the kick.
Determine the test statistic.
 
χ2=nothing
​(Round to three decimal places as​ needed.)
Determine the​ P-value of the test statistic.
 
​P-value=nothing
​(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
 
sufficient
insufficient
evidence to warrant rejection of the claim that the direction of the kick is independent of the direction of the goalkeeper jump. The results
 
do not support
support
the theory that b
Goalkeeper Jump
 
 
Left
Center
Right
 
Kick to Left
60
2
41
 
Kick to Center
40
12
35
 
Kick to Right
50
10
62
ecause the kicks are so​ fast, goalkeepers have no time to react.
 
 
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