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9.11 Comparison of conditional distributions. Consider the following 2×2 table.

Observed counts
Explanatory variable
Response variable12Total
Yes7595170
No135115250
Total210210420
  1. (a) Compute the conditional distribution of the response variable for each of the two explanatory-variable categories.

  2. (b) Display the distributions graphically.

  3. (c) Write a short paragraph describing the two distributions and how they differ.

9.11 (a) Explanatory 1: 35.7% Yes and 64.3% No. Explanatory 2: 45.2% Yes and 54.8% No. (c) Explanatory variable value 1 had proportionately fewer Yes responses.

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