In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 278 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? View the penalty kick data. Pentalty kick data Dialog content starts Goalkeeper Jump Left Center Right Kick to Left 54 0 36 Kick to Center 41 10 28 Kick to Right 41 6 62 Determine the test statistic. χ2=____________(Round to three decimal places as needed.) Determine the P-value of the test statistic. P-value=___________(Round to four decimal places as needed.
In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 278 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? View the penalty kick data. Pentalty kick data Dialog content starts Goalkeeper Jump Left Center Right Kick to Left 54 0 36 Kick to Center 41 10 28 Kick to Right 41 6 62 Determine the test statistic. χ2=____________(Round to three decimal places as needed.) Determine the P-value of the test statistic. P-value=___________(Round to four decimal places as needed.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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Section 11.2 Question #9
In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 278 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?
View the penalty kick data.
Pentalty kick data
Dialog content starts
|
|
Goalkeeper Jump
|
|
||
|---|---|---|---|---|
|
|
Left
|
Center
|
Right
|
|
|
Kick to Left
|
54
|
0
|
36
|
|
|
Kick to Center
|
41
|
10
|
28
|
|
|
Kick to Right
|
41
|
6
|
62
|
Determine the test statistic.
χ2=____________(Round to three decimal places as needed.)
Determine the P-value of the test statistic.
P-value=___________(Round to four decimal places as needed.)
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n soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from
278
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?Question content area bottom
Part 1
Determine the null and alternative hypotheses.
H0:
Jump direction is independent of kick direction.H1:
Jump direction is dependent on kick direction.H0:
Goalkeepers jump in the direction of the kick.H1:
Goalkeepers do not jump in the direction of the kick.H0:
Goalkeepers do not jump in the direction of the kick.H1:
Goalkeepers jump in the direction of the kick.H0:
Jump direction is dependent on kick direction.H1:
Jump direction is independent of kick direction.Part 2
Determine the test statistic.
χ2=enter your response here
(Round to three decimal places as needed.)Solution
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