9.11 Comparison of conditional distributions. Consider the following 2×2 table.
Observed counts | |||
Explanatory variable | |||
Response variable | 1 | 2 | Total |
Yes | 75 | 95 | 170 |
No | 135 | 115 | 250 |
Total | 210 | 210 | 420 |
(a) Compute the conditional distribution of the response variable for each of the two explanator
(b) Display the distributions graphically.
(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.