Question

Find the percent acceptance for each group.

The other part to this question asks:
Does this data show Simpson's paradox or does it not?​

Answer 1

• men AS: 65.9%
• women AS: 62.1%
• men AA: 76.7%
• women AA: 72.8%
• men AAS: 89.1%
• women AAS: 88.9%
• men total: 77.8%; women total: 76.8%

This data DOES NOT show Simpson's Paradox.

Explanation:

The acceptance rate for any given group is ...

(number accepted)/(number applied) × 100%

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Example:

For the overall acceptance rate for men the numbers are ...

809/1040 × 100% ≈ 0.7779 × 100% ≈ 77.8%

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I find it convenient to let a spreadsheet do the tedious math and rounding. In the attached spreadsheet, the total is the sum of the numbers to its left.

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Simpson's Paradox is a condition in the data where group trends are different from the trend of combined groups. For gender-related issues, it usually means that men and women individually experience different results than are illustrated by combined statistics.

Here, men are accepted at a higher rate for each program, and the overall rate for the school shows a higher acceptance rate for men. These results are consistent, so there is no "Simpson's Paradox" illustrated by this data.