Section_4.1_-_Odds_ratios[1]

# Section_4.1_-_Odds_ratios[1] - Homework for Section 4.1...

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Homework for Section 4.1 - Odds Ratios To many people, the odds of an outcome are the same as the chance that it will happen. But in statistics, the term “odds” means something different. It means the chance that an outcome will happen divided by the chance that it will not happen. For example, the chance of winning a bet on “red” at roulette is . The chance 18 38 of losing is . So the odds of winning are . 20 38 18 38 20 38 18 20 09 ÷ = . The chance of winning a roulette bet on a column of twelve numbers is , and 12 38 the chance of losing is . So the odds of winning this bet are . 1 12 38 26 38 - = 12 38 26 38 12 26 0462 ÷ = . These are lower odds than the odds of winning a bet on red. One way of comparing the two is by the ratio of the odds: 12 26 18 20 0462 0 9 0513 ÷ ÷ . . . Odds ratios are often used to compare risks. In a study of Dartmouth College students in 1982, 45 out of 625 women students had eating disorders compared to 2 of 219 men students. So for a woman from the study picked at random, the chance that

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Section_4.1_-_Odds_ratios[1] - Homework for Section 4.1...

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