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 Draw 47 37 40 66 Total 87 103 Location Home Away Lost 100 153 253 Total 184 259 443 If we want to calculate a confidence interval of the difference of two proportions, what is the Standard Error (do not pool for this answer)? Use 4 decimal places for your answer and use the proper rules of rounding.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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
Draw
47
37
40
66
Total 87
103
Location
Home
Away
Lost
100
153
253
Total
184
259
443
If we want to calculate a confidence interval of the difference of two proportions, what the
Standard Error (do not pool for this answer)? Use 4 decimal places for your answer and use
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. Result After Red Card Won Draw 47 37 40 66 Total 87 103 Location Home Away Lost 100 153 253 Total 184 259 443 If we want to calculate a confidence interval of the difference of two proportions, what the Standard Error (do not pool for this answer)? Use 4 decimal places for your answer and use the proper rules of rounding.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman