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Difference of Two Proportions Problem. Significance magazine had an article looking at the impact on the outcome of a soccer game when a player gets a Red Card. The Red Card is given to a player who commits a serious foul and that player is removed from the game. This leaves the team with a player short. The data shows the relative performance of home and away teams with red cards, English Premier League (EPL), seasons 2011 to 2021. The table shows the outcomes of the team receiving a Red Card as Win, Draw (a tie), or Lose by whether the match is Home or Away for the Red Card Team. • We will focus on the proportion with a Draw for Home and Away games • The expectation is that a Red Card team that is away will work harder for a draw. Express the difference as Away - Home. • We will do a one-tailed test. • Use an alpha level of .05 unless otherwise instructed. Result After Red Card Won 47 40 Total 87 Location Home Away Draw 37 66 103 Lost 100 153 253 Total 184 259 443 What is the Bound of Error (BOE) for a 95% Confidence Interval of the difference of two proportions for a Draw for teams playing Away versus Home (for the Confidence Interval, do not use pooled proportion)? Use 4 decimal places and the proper rules of rounding.

Difference of Two Proportions Problem. Significance magazine had an article looking at the impact on the outcome of a soccer game when a player gets a Red Card. The Red Card is given to a player who commits a serious foul and that player is removed from the game. This leaves the team with a player short. The data shows the relative performance of home and away teams with red cards, English Premier League (EPL), seasons 2011 to 2021. The table shows the outcomes of the team receiving a Red Card as Win, Draw (a tie), or Lose by whether the match is Home or Away for the Red Card Team. • We will focus on the proportion with a Draw for Home and Away games • The expectation is that a Red Card team that is away will work harder for a draw. Express the difference as Away - Home. • We will do a one-tailed test. • Use an alpha level of .05 unless otherwise instructed. Result After Red Card Won 47 40 Total 87 Location Home Away Draw 37 66 103 Lost 100 153 253 Total 184 259 443 What is the Bound of Error (BOE) for a 95% Confidence Interval of the difference of two proportions for a Draw for teams playing Away versus Home (for the Confidence Interval, do not use pooled proportion)? Use 4 decimal places and the proper rules of rounding.

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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Difference of Two Proportions Problem. Significance magazine had an article looking at the impact on the outcome of a soccer game when a player gets a Red Card. The Red Card is given to a player who commits a serious foul and that player is removed from the game. This leaves the team with a player short. The data shows the relative performance of home and away teams with red cards, English Premier League (EPL), seasons 2011 to 2021. The table shows the outcomes of the team receiving a Red Card as Win, Draw (a tie), or Lose by whether the match is Home or Away for the Red Card Team. • We will focus on the proportion with a Draw for Home and Away games • The expectation is that a Red Card team that is away will work harder for a draw. Express the difference as Away - Home. • We will do a one-tailed test. • Use an alpha level of .05 unless otherwise instructed. Location Home Away Result After Red Card Won 47 40 Total 87 Draw 37 66 103 Lost 100 153 253 Total 184 259 443 What is the Bound of Error (BOE) for a 95% Confidence Interval of the difference of two proportions for a Draw for teams playing Away versus Home (for the Confidence Interval, do not use pooled proportion)? Use 4 decimal places and the proper rules of rounding.
Transcribed Image Text:Difference of Two Proportions Problem. Significance magazine had an article looking at the impact on the outcome of a soccer game when a player gets a Red Card. The Red Card is given to a player who commits a serious foul and that player is removed from the game. This leaves the team with a player short. The data shows the relative performance of home and away teams with red cards, English Premier League (EPL), seasons 2011 to 2021. The table shows the outcomes of the team receiving a Red Card as Win, Draw (a tie), or Lose by whether the match is Home or Away for the Red Card Team. • We will focus on the proportion with a Draw for Home and Away games • The expectation is that a Red Card team that is away will work harder for a draw. Express the difference as Away - Home. • We will do a one-tailed test. • Use an alpha level of .05 unless otherwise instructed. Location Home Away Result After Red Card Won 47 40 Total 87 Draw 37 66 103 Lost 100 153 253 Total 184 259 443 What is the Bound of Error (BOE) for a 95% Confidence Interval of the difference of two proportions for a Draw for teams playing Away versus Home (for the Confidence Interval, do not use pooled proportion)? Use 4 decimal places and the proper rules of rounding.
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