I think a lot of people have had the experience of giving the right answer and have the interviewer believe it's wrong, whether they are wrong or the interviewe

I think a lot of people have had the experience of giving the right answer and have the interviewer believe it's wrong, whether they are wrong or the interviewee didn't explain it well enough. I've done both. In one case, I make a flippant comment about how you don't really know where the bottlenecks in your software are unless you measure. I was making a statement which I believed the other person would simply agree with as a baseline. However, he took it as a challenge and said, "I know where our bottlenecks are". Oops.