In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 303 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: Jump direction is independent of kick direction. H₁: Jump direction is dependent on kick direction. OC. Ho: Goalkeepers jump in the direction of the kick. H₁: Goalkeepers do not jump in the direction of the kick. 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. (Round to three decimal places as needed.) Determine the P-value of the test statistic. P-value (Round to four decimal places as needed.) Pentalty Kick Data Goalkeeper Jump Left Center Right Kick to Left 54 4 44 Kick to Center 38 13 34 Kick to Right 45 10 61 Print Done - X 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? evidence to warrant rejection of the claim that the direction of the kick is independent of the direction of the goalkeeper jump. The results There is have no time to react. the theory that because the kicks are so fast, goalkeepers
In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 303 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: Jump direction is independent of kick direction. H₁: Jump direction is dependent on kick direction. OC. Ho: Goalkeepers jump in the direction of the kick. H₁: Goalkeepers do not jump in the direction of the kick. 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. (Round to three decimal places as needed.) Determine the P-value of the test statistic. P-value (Round to four decimal places as needed.) Pentalty Kick Data Goalkeeper Jump Left Center Right Kick to Left 54 4 44 Kick to Center 38 13 34 Kick to Right 45 10 61 Print Done - X 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? evidence to warrant rejection of the claim that the direction of the kick is independent of the direction of the goalkeeper jump. The results There is have no time to react. the theory that because the kicks are so fast, goalkeepers
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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