Where did you see an answer that contradicts that?
It was a question in one of the B.Tech entrance exams here. and the answer provided was that p-methylaniline was most basic.
Although I have searched on the web a bit which seems to indicate that I was right,
pKa of p-methylaniline = 4.85
pKa of p-ethylaniline = 5.03
I doubt the difference is very large though.
It is not too large I guess