Biased statistics can result from a variety of problems during the data collection process. What term is used when people are ill or in pain want a treatment to work so badly that they convince themselves that it works?

Help with step 3 please

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…

We sometimes hear that getting married is good for your career. Assume the table presents data from one of the studies behind this generalization that classifies men ages 18 and over according to marital status and annual income. We include only data on men to avoid sex bias. Income No income $1-$49,999 $50,000-$99,999 $100,000 and over Total Marital status and salary level (thousands of men) Marital Status Single men with no income: Single (Never Married) 5403 25,696 6152 2145 39,396 Married 1256 31,569 22,145 14,588 69,558 Divorced 563 6210 3112 1912 11,797 Widowed 145 2439 650 301 3535 What percentage of single men have no income? Give your answer to one decimal place. Total 7367 65,914 32,059 18,946 124,286 %