In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 285 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 view the penalty kick data. Determine the null and alternative hypotheses. X Pentalty Kick Data O A. Ho: Jump direction is independent of kick direction. H₁: Jump direction is dependent on kick direction. OB. Ho: Goalkeepers jump in the direction of the kick. H₁: Goalkeepers do not jump in the direction of the kick. Goalkeeper Jump Left Center Right 4 52 37 OC. Ho: Goalkeepers do not jump in the direction of the kick. H₁: Goalkeepers jump in the direction of the kick. Kick to Left Kick to Center Kick to Right 39 11 32 45 9 56 O D. Ho: Jump direction is dependent on kick direction. H₁: Jump direction is independent of kick direction. Determine the test statistic. Print Done 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 of their jumps are independent of the directions of the kicks? 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 285 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 view the penalty kick data. Determine the null and alternative hypotheses. X Pentalty Kick Data O A. Ho: Jump direction is independent of kick direction. H₁: Jump direction is dependent on kick direction. OB. Ho: Goalkeepers jump in the direction of the kick. H₁: Goalkeepers do not jump in the direction of the kick. Goalkeeper Jump Left Center Right 4 52 37 OC. Ho: Goalkeepers do not jump in the direction of the kick. H₁: Goalkeepers jump in the direction of the kick. Kick to Left Kick to Center Kick to Right 39 11 32 45 9 56 O D. Ho: Jump direction is dependent on kick direction. H₁: Jump direction is independent of kick direction. Determine the test statistic. Print Done 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 of their jumps are independent of the directions of the kicks? 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.
MATLAB: An Introduction with Applications
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Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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![### Penalty Kick Statistical Analysis
In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 285 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?
---
#### Determine the Null and Alternative Hypotheses
**Options:**
- **A.**
- \(H_0\): Jump direction is independent of kick direction.
- \(H_1\): Jump direction is dependent on kick direction.
- **B.**
- \(H_0\): Goalkeepers jump in the direction of the kick.
- \(H_1\): Goalkeepers do not jump in the direction of the kick.
- **C.**
- \(H_0\): Goalkeepers do not jump in the direction of the kick.
- \(H_1\): Goalkeepers jump in the direction of the kick.
- **D.**
- \(H_0\): Jump direction is dependent on kick direction.
- \(H_1\): Jump direction is independent of kick direction.
#### Determine the Test Statistic
Use the formula for the chi-square test statistic:
\[
\chi^2 = \boxed{} \quad \text{(Round to three decimal places as needed.)}
\]
#### Determine the P-value of the Test Statistic
\[
\text{P-value} = \boxed{} \quad \text{(Round to four decimal places as needed.)}
\]
#### Evaluation of Results
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 \boxed{} evidence to warrant rejection of the claim that the direction of the kick is independent of the direction of the goalkeeper jump. The results \boxed{} the theory that because the kicks are so fast, goalkeepers have no time to react.
---
#### Data Table: Penalty Kick Data
The data from the study is summarized in the](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e2dce9f-bcdf-4f32-a081-371e2dab1fcb%2F8eece685-aff9-42ac-abdf-fda22fd5d18b%2F64n7qhq_processed.png&w=3840&q=75)
Transcribed Image Text:### Penalty Kick Statistical Analysis
In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 285 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?
---
#### Determine the Null and Alternative Hypotheses
**Options:**
- **A.**
- \(H_0\): Jump direction is independent of kick direction.
- \(H_1\): Jump direction is dependent on kick direction.
- **B.**
- \(H_0\): Goalkeepers jump in the direction of the kick.
- \(H_1\): Goalkeepers do not jump in the direction of the kick.
- **C.**
- \(H_0\): Goalkeepers do not jump in the direction of the kick.
- \(H_1\): Goalkeepers jump in the direction of the kick.
- **D.**
- \(H_0\): Jump direction is dependent on kick direction.
- \(H_1\): Jump direction is independent of kick direction.
#### Determine the Test Statistic
Use the formula for the chi-square test statistic:
\[
\chi^2 = \boxed{} \quad \text{(Round to three decimal places as needed.)}
\]
#### Determine the P-value of the Test Statistic
\[
\text{P-value} = \boxed{} \quad \text{(Round to four decimal places as needed.)}
\]
#### Evaluation of Results
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 \boxed{} evidence to warrant rejection of the claim that the direction of the kick is independent of the direction of the goalkeeper jump. The results \boxed{} the theory that because the kicks are so fast, goalkeepers have no time to react.
---
#### Data Table: Penalty Kick Data
The data from the study is summarized in the
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