In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 284 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 goakeepers 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 - X O Pentalty Kick Data O A. Ho: Goalkeepers jump in the direction of the kick H: Goalkeepers do not jump in the direction of the kick OB. Ho: Jump direction is dependent on kick direction. H: Jump direction is independent of kick direction. Goalkeeper Jump Left Center Right 53 30 47 O C. Ho: Jump direction is independent of kick direction. H: Jump direction is dependent on kick direction Kick to Left Kick to Center 11 35 Kick to Right OD. Ho: Goalkeepers do not jump in the direction of the kick H: Goalkeepers jump in the direction of the kick. Print Done Determine the test statistic 2=(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 goalikeepers have no time to react. so the directions of their jumps are independent of the directions of the kicks? the theory that because the kieks are so fast goakeepers have no time to react There is evidence to warrant rejection of the claim that the direction of the kick is independent of the direction of the goakeeper jump The resuts
In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 284 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 goakeepers 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 - X O Pentalty Kick Data O A. Ho: Goalkeepers jump in the direction of the kick H: Goalkeepers do not jump in the direction of the kick OB. Ho: Jump direction is dependent on kick direction. H: Jump direction is independent of kick direction. Goalkeeper Jump Left Center Right 53 30 47 O C. Ho: Jump direction is independent of kick direction. H: Jump direction is dependent on kick direction Kick to Left Kick to Center 11 35 Kick to Right OD. Ho: Goalkeepers do not jump in the direction of the kick H: Goalkeepers jump in the direction of the kick. Print Done Determine the test statistic 2=(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 goalikeepers have no time to react. so the directions of their jumps are independent of the directions of the kicks? the theory that because the kieks are so fast goakeepers have no time to react There is evidence to warrant rejection of the claim that the direction of the kick is independent of the direction of the goakeeper jump The resuts
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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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 284 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 vieww the penalty kick data.
Determine the null and alternative hypotheses.
O Pentalty Kick Data
O A. Ho: Goalkeepers jump in the direction of the kick
H: Goalkeepers do not jump in the direction of the kick
O B. Hn: Jump direction is dependent on kick direction.
Goalkeeper Jump
Left Center Right
H: Jump direction is independent of kick direction.
Kick to Left
Kick to Center
53
O C. Ho: Jump direction is independent of kick direction.
36
H: Jump direction is dependent on kick direction.
O D. Ho: Goalkeepers do not jump in the direction of the kick.
H: Goalkeepers jump in the direction of the kick
Print
Done
Determine the test statistic.
2=(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?
V the theory that because the kicks are so fast, goalkeepers have no time to react
There is
Vevidence to warrant rejection of the claim that the direction of the kick is independent of the direction of the goalkeeper jump. The results
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