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
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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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