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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 288 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? Click the icon to view the penalty kick data. Determine the null and alternative hypotheses. OA. Ho: Jump direction is dependent on kick direction. H₁: Jump direction is independent of kick direction. OB. Ho: Goalkeepers jump in the direction of the kick. H₁: Goalkeepers do not jump in the direction of the kick. OC. Ho: Jump direction is independent of kick direction. H₁: Jump direction is dependent on kick direction. OD. Ho: Goalkeepers do not jump in the direction of the kick. H₁: Goalkeepers jump in the direction of the kick. Determine the test statistic. x² = (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 directions of the kicks? their jumps are independent of the There is evidence to warrant rejection of the claim that the direction of the kick is independent of the direction of the goalkeeper jump. The results the theory that because the kicks are so fast, goalkeepers have no time to react.

In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 288 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? Click the icon to view the penalty kick data. Determine the null and alternative hypotheses. OA. Ho: Jump direction is dependent on kick direction. H₁: Jump direction is independent of kick direction. OB. Ho: Goalkeepers jump in the direction of the kick. H₁: Goalkeepers do not jump in the direction of the kick. OC. Ho: Jump direction is independent of kick direction. H₁: Jump direction is dependent on kick direction. OD. Ho: Goalkeepers do not jump in the direction of the kick. H₁: Goalkeepers jump in the direction of the kick. Determine the test statistic. x² = (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 directions of the kicks? their jumps are independent of the There is evidence to warrant rejection of the claim that the direction of the kick is independent of the direction of the goalkeeper jump. The results the theory that because the kicks are so fast, goalkeepers have no time to react.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 17E
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Pentalty Kick Data Kick to Left Kick to Center Kick to Right Goalkeeper Jump Left 55 38 43 Center Right 1 40 14 31 8 58 0 - X
Transcribed Image Text:Pentalty Kick Data Kick to Left Kick to Center Kick to Right Goalkeeper Jump Left 55 38 43 Center Right 1 40 14 31 8 58 0 - X
In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 288 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? Click the icon to view the penalty kick data. Determine the null and alternative hypotheses. OA. Ho: Jump direction is dependent on kick direction. H₁: Jump direction is independent of kick direction. OB. Ho: Goalkeepers jump in the direction of the kick. H₁: Goalkeepers do not jump in the direction of the kick. OC. Ho: Jump direction is independent of kick direction. H₁: Jump direction is dependent on kick direction. OD. Ho: Goalkeepers do not jump in the direction of the kick. H₁: Goalkeepers jump in the direction of the kick. Determine the test statistic. x² = (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 directions of the kicks? f their jumps are independent of the There is evidence to warrant rejection of the claim that the direction of the kick is independent of the direction of the goalkeeper jump. The results the theory that because the kicks are so fast, goalkeepers have no time to react.
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 288 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? Click the icon to view the penalty kick data. Determine the null and alternative hypotheses. OA. Ho: Jump direction is dependent on kick direction. H₁: Jump direction is independent of kick direction. OB. Ho: Goalkeepers jump in the direction of the kick. H₁: Goalkeepers do not jump in the direction of the kick. OC. Ho: Jump direction is independent of kick direction. H₁: Jump direction is dependent on kick direction. OD. Ho: Goalkeepers do not jump in the direction of the kick. H₁: Goalkeepers jump in the direction of the kick. Determine the test statistic. x² = (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 directions of the kicks? f their jumps are independent of the There is evidence to warrant rejection of the claim that the direction of the kick is independent of the direction of the goalkeeper jump. The results the theory that because the kicks are so fast, goalkeepers have no time to react.
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