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02 STAT descriptive statistics 1-IC Q4

# 02 STAT descriptive statistics 1-IC Q4 - level a puzzle...

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INTRODUCTION Dr. V.R. Bencivenga Economic Statistics Economics 329 DESCRIPTIVE STATISTICS: INDEX CARD QUESTION 4 A few years ago, an observational study was done of whether or not there was gender bias in admissions to graduate schools at the University of California at Berkeley. During the period of the study, 8442 men applied for admission, and 4321 women. About 44% of the men and 35% of the women were admitted. Assuming that the men and women were on the whole equally well qualified (and there is no evidence to the contrary), it looks from these percentages like the process was biased against women. Each department did its own admissions, and upon further investigation at the department

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Unformatted text preview: level, a puzzle emerged. At the department level, there did not seem to be any bias against women. Below are admissions data for the six largest departments. Can you resolve this puzzle? In other words, explain how in the aggregate, it can seem that there is bias against women, while at the department level, it does not. INTRODUCTION MEN WOMEN Department Number of applicants Percent admitted Number of applicants Percent admitted A 825 62 108 82 B 560 63 25 68 C 325 37 593 34 D 417 33 375 35 E 191 28 393 24 F 373 6 341 7...
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02 STAT descriptive statistics 1-IC Q4 - level a puzzle...

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