In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 306 kicks during games among top teams. In the table, jump direction indicate 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 goalkeepe 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. A. Ho: Jump direction is independent of kick direction. H,: Jump direction is dependent on kick direction. O B. Ho: Goalkeepers jump in the direction of the kick. H,: Goalkeepers do not jump in the direction of the kick. O C. Ho: Goalkeepers do not jump in the direction of the kick. H,: Goalkeepers jump in the direction of the kick, O D. Ho: Jump direction is dependent on kick direction. H: Jump direction is independent of kick direction. Determine the test statistic. x2 =| (Round to three 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 306 kicks during games among top teams. In the table, jump direction indicate 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 goalkeepe 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. A. Ho: Jump direction is independent of kick direction. H,: Jump direction is dependent on kick direction. O B. Ho: Goalkeepers jump in the direction of the kick. H,: Goalkeepers do not jump in the direction of the kick. O C. Ho: Goalkeepers do not jump in the direction of the kick. H,: Goalkeepers jump in the direction of the kick, O D. Ho: Jump direction is dependent on kick direction. H: Jump direction is independent of kick direction. Determine the test statistic. x2 =| (Round to three decimal places as needed.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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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 306 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.
A. Ho: Jump direction is independent of kick direction.
H1: Jump direction is dependent on kick direction.
O B. Ho: Goalkeepers jump in the direction of the kick.
H,: Goalkeepers do not jump in the direction of the kick.
O C. Hn: Goalkeepers do not jump in the direction of the kick.
H,: Goalkeepers jump in the direction of the kick.
O D. Ho: Jump direction is dependent on kick direction.
H,: Jump direction is independent of kick direction.
Determine the test statistic.
x2 = || |(Round to three decimal places as needed.)
Transcribed Image Text:O Pentalty Kick Data
- X
Goalkeeper Jump
Left
Center Right
Kick to Left
58
2
41
Kick to Center
44
8
31
Kick to Right
48
10
64
Print
Done
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