The math professor concludes that non-social science departments should teach applied statistics. This in contrast to the psychologist, who thinks that social science departments are best at teaching their students how to apply statistics to their disciplines. The math professor disagrees, because his applied statistics course covers the exact same content as those taught by the social science departments.

Even if the math professor’s statistics course covers the same material, it may not teach students to apply it to a social science as effectively as a course taught by an expert in the field. That was the point made by the psychology professor, and the math professor didn’t address it.