D Question 18 3 pts 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 Location Won Draw Lost Total Home Away 47 37 100 184 40 66 153 259 Total 87 103 253 443 What is the proportion of a Draw for teams that are Away? Use 4 decimal places and the proper rules of rounding. D Question 19 Different of Two Proportions Problem. A survey was done in 2022 and again in 2022. The survey asked respondents if they were willing to opt for ads to save money on streaming. We will focus on the proportion that "would rather save $4 or $5 per month and watch ads." The survey in each year are different respondents so they represent independent random samples. The data are given below. # Rather Save Year 2023 2022 Total 337 344 527 603 Express the difference as p2023-p2022 so the difference is positive. We will test to see if the proportion increased over time and use an alpha level of .05 For a 95% Confidence Interval, what is the Upper bound for the difference of two proportions? Use 4 decimal places in your answer (e.g., .2534) and use the proper rules of rounding. D Question 20 Different of Two Proportions Problem. A survey was done in 2022 and again in 2022. The survey asked respondents if they were willing to opt for ads to save money on streaming. We will focus on the proportion that "would rather save $4 or $5 per month and watch ads." The survey in each year are different respondents so they represent independent random samples. The data are given below. # Rather Save Year 2023 2022 337 344 Total 527 603 Express the difference as p2023-p2022 so the difference is positive. We will test to see if the proportion increased over time and use an alpha level of .05 For a 95% Confidence Interval, what is the Lower bound for the difference of two proportions? Use 4 decimal places in your answer (e.g., .2534) and use the proper rules of rounding. D Question 21 Different of Two Proportions Problem. A survey was done 2022 and again in 2022. The survey asked respondents if they were willing to opt for ads to save money on streaming. We will focus on the proportion that "would rather save $4 or $5 per month and watch ads." The survey in each year are different respondents so they represent independent random samples. The data are given below. Year # Rather Save 2023 2022 Total 337 344 527 603 Express the difference as p2023-p2022 so the difference is positive. We will test to see if the proportion increased over time and use an alpha level of .05 Based on the information given, what Type of Test is this? Two-Tailed Test O One-Tailed Lower Test One-Tailed Upper Test D Question 22 D Different of Two Proportions Problem. A survey was done 2022 and again in 2022. The survey asked respondents if they were willing to opt for ads to save money on streaming. We will focus on the proportion that "would rather save $4 or $5 per month and watch ads." The survey in each year are different respondents so they represent independent random samples. The data are given below. Year # Rather Save 2023 2022 337 344 Total 527 603 Express the difference as p2023-p2022 so the difference is positive. We will test to see if the proportion increased over time and use an alpha level of .05 If we shifted to an alpha of .01 (from the stated .05), we would fail to reject the Null Hypothesis. O True False Question 23 A covariance coefficient is a symmetrical measure of association. True False 3 pts 3 pts 3 pts 3 pts 3 pts