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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 284 kicks during games among top teams. In the table, jump direction indicates which way the goalkeeper umped, 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. Pentalty kick data O 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 Goalkeeper Jump Center Right Left Kick to Left 55 39 Kick to Center 37 34 O C. Ho: Goalkeepers do not jump in the direction of the kick. H,: Goalkeepers jump in the direction of the kick Kick to Right 46 56 O D. Ho: Jump direction is dependent on kick direction. H: Jump direction is independent of kick direction. 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? There is V evidence to warrant rejection of the claim that the direction of the kick is independent of the direction of the goalkeeper jump. The results v the theory that because the kicks are so fast, goalkeepers have no time to

n 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 umped, 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. Pentalty kick data O 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 Goalkeeper Jump Center Right Left Kick to Left 55 39 Kick to Center 37 34 O C. Ho: Goalkeepers do not jump in the direction of the kick. H,: Goalkeepers jump in the direction of the kick Kick to Right 46 56 O D. Ho: Jump direction is dependent on kick direction. H: Jump direction is independent of kick direction. 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? There is V evidence to warrant rejection of the claim that the direction of the kick is independent of the direction of the goalkeeper jump. The results v the theory that because the kicks are so fast, goalkeepers have no time to

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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In the context of soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table shows data from 284 penalty kicks during games among top teams. The table illustrates the relationship between the direction of kicks and the direction in which goalkeepers jump, from the goalkeeper's perspective. A 0.05 significance level is used to analyze whether the direction of the kick is independent of the direction of the goalkeeper's jump. **Penalty Kick Data Table:** - **Goalkeeper Jump Directions** - **Left**: - Kick to Left: 55 - Kick to Center: 37 - Kick to Right: 46 - **Center**: - Kick to Left: 3 - Kick to Center: 8 - Kick to Right: 6 - **Right**: - Kick to Left: 39 - Kick to Center: 34 - Kick to Right: 56 **Determine the Null and Alternative Hypotheses:** - **Option A**: - Null hypothesis (H₀): Jump direction is independent of kick direction. - Alternative hypothesis (H₁): Jump direction is dependent on kick direction. - **Option B**: - H₀: Goalkeepers jump in the same direction as the kick. - H₁: Goalkeepers do not jump in the same direction as the kick. - **Option C**: - H₀: Goalkeepers do not jump in the same direction as the kick. - H₁: Goalkeepers jump in the same direction as the kick. - **Option D**: - H₀: Jump direction is dependent on kick direction. - H₁: Jump direction is independent of kick direction. **Determine the Test Statistic:** - Use chi-square (χ²) test statistic. - **Enter value rounded to three decimal places as needed.** **Determine the P-value of the Test Statistic:** - P-value rounded to four decimal places as needed. **Conclusion:** Evaluate the evidence to ascertain if it supports the notion that goalkeepers' jumps are independent of kick directions due to the speed of kicks. - Conclusions are drawn based on whether there is sufficient evidence to reject the claim that kick direction is independent of goalkeeper jump direction.
Transcribed Image Text:In the context of soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table shows data from 284 penalty kicks during games among top teams. The table illustrates the relationship between the direction of kicks and the direction in which goalkeepers jump, from the goalkeeper's perspective. A 0.05 significance level is used to analyze whether the direction of the kick is independent of the direction of the goalkeeper's jump. **Penalty Kick Data Table:** - **Goalkeeper Jump Directions** - **Left**: - Kick to Left: 55 - Kick to Center: 37 - Kick to Right: 46 - **Center**: - Kick to Left: 3 - Kick to Center: 8 - Kick to Right: 6 - **Right**: - Kick to Left: 39 - Kick to Center: 34 - Kick to Right: 56 **Determine the Null and Alternative Hypotheses:** - **Option A**: - Null hypothesis (H₀): Jump direction is independent of kick direction. - Alternative hypothesis (H₁): Jump direction is dependent on kick direction. - **Option B**: - H₀: Goalkeepers jump in the same direction as the kick. - H₁: Goalkeepers do not jump in the same direction as the kick. - **Option C**: - H₀: Goalkeepers do not jump in the same direction as the kick. - H₁: Goalkeepers jump in the same direction as the kick. - **Option D**: - H₀: Jump direction is dependent on kick direction. - H₁: Jump direction is independent of kick direction. **Determine the Test Statistic:** - Use chi-square (χ²) test statistic. - **Enter value rounded to three decimal places as needed.** **Determine the P-value of the Test Statistic:** - P-value rounded to four decimal places as needed. **Conclusion:** Evaluate the evidence to ascertain if it supports the notion that goalkeepers' jumps are independent of kick directions due to the speed of kicks. - Conclusions are drawn based on whether there is sufficient evidence to reject the claim that kick direction is independent of goalkeeper jump direction.
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