In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 301 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? Click the icon to view the penalty kick data.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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B
4
n 5
K
In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 301 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?
x²
Click the icon to view the penalty kick data.
(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
results
evidence to warrant rejection of the claim that the direction of the kick is independent of the direction of the goalkeeper jump. The
the theory that because the kicks are so fast, goalkeepers have no time to react.
Transcribed Image Text:B 4 n 5 K In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 301 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? x² Click the icon to view the penalty kick data. (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 results evidence to warrant rejection of the claim that the direction of the kick is independent of the direction of the goalkeeper jump. The the theory that because the kicks are so fast, goalkeepers have no time to react.
K
games among to
goalkeeper. Use
support the theor
kicks?
Click the ico
Pentalty Kick Data
Determine the nu
OA. Ho Goall
Pentalty Kick Data
Kick to Left
Kick to Center
Kick to Right
Goalkeeper Jump m
Center Right
5
45
Left
54
38
47
10
7
33
62
X
where the kick direction is from the perspe
dent of the direction of the goalkeeper jump. Do the results
irections of their jumps are independent of the directions of the
Transcribed Image Text:K games among to goalkeeper. Use support the theor kicks? Click the ico Pentalty Kick Data Determine the nu OA. Ho Goall Pentalty Kick Data Kick to Left Kick to Center Kick to Right Goalkeeper Jump m Center Right 5 45 Left 54 38 47 10 7 33 62 X where the kick direction is from the perspe dent of the direction of the goalkeeper jump. Do the results irections of their jumps are independent of the directions of the
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