Bundle: Probability and Statistics for Engineering and the Sciences, Loose-leaf Version, 9th + WebAssign Printed Access Card for Devore's Probability ... and the Sciences, 9th Edition, Single-Term
9th Edition
ISBN: 9781337762021
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 14, Problem 40SE
The authors of the article “Predicting Professional Sports Game Outcomes from Intermediate Game Scores” (Chance, 1992: 18–22) used a chi-squared test to determine whether there was any merit to the idea that basketball games are not settled until the last quarter, whereas baseball games are over by the seventh inning. They also considered football and hockey. Data was collected for 189 basketball games, 92 baseball games, 80 hockey games, and 93 football games. The games analyzed were sampled randomly from all games played during the 1990 season for baseball and football and for the 1990–1991 season for basketball and hockey. For each game, the late-game leader was determined, and then it was noted whether the late-game leader actually ended up winning the game. The resulting data is summarized in the accompanying table.
| Sport Basketball |
Late-Game Leader Wins 150 |
Late-Game Leader Loses 39 |
| Baseball | 86 | 6 |
| Hockey | 65 | 15 |
| Football | 72 | 21 |
The authors state that “Late-game leader is defined as the team that is ahead after three quarters in basketball and football, two periods in hockey, and seven innings in baseball. The chi-square value on three degrees of freedom is 10.52 (P < .015).”
a. State the relevant hypotheses and reach a conclusion using α = .05.
b. Do you think that your conclusion in part (a) can be attributed to a single sport being an anomaly?
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Chapter 14 Solutions
Bundle: Probability and Statistics for Engineering and the Sciences, Loose-leaf Version, 9th + WebAssign Printed Access Card for Devore's Probability ... and the Sciences, 9th Edition, Single-Term
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