Maybe. It depends on the distributions over programming ability that the test and color, respectively, provide. [ETA1: I should have written, “the test and the conjunction of test and color, respectively...”. The point is that, conditioned on test results, color could be independent of ability.] [ETA2: Though, if your “further conclusions” was meant to include things beyond what the test tests for, but which correlate with color, then you’re definitely right.]
The test’s being colorblind doesn’t mean that its results don’t correlate with color in the population of subjects. It means that, were you to fix a test subject and vary its color while holding everything else constant, its test results wouldn’t correlate with the color change.
Maybe. It depends on the distributions over programming ability that the test and color, respectively, provide. [ETA1: I should have written, “the test and the conjunction of test and color, respectively...”. The point is that, conditioned on test results, color could be independent of ability.] [ETA2: Though, if your “further conclusions” was meant to include things beyond what the test tests for, but which correlate with color, then you’re definitely right.]
The test’s being colorblind doesn’t mean that its results don’t correlate with color in the population of subjects. It means that, were you to fix a test subject and vary its color while holding everything else constant, its test results wouldn’t correlate with the color change.