Or are you right? They may sound like the same thing but often enough they are not. If you guessed they were though, you’re not wrong.
I’ve always found this phrase a strange one. If I am not wrong, doesn’t that mean I am right? On the surface the answer might be yes. Though sometimes people have one or two other options which they believe to be correct or more right than your view. So those options would be more right than your position. This is a possibility.
Alternatively, you could simply be right. By that, I also mean the most right. However, the person responding to you might have a negative frame of mind and therefore responds to things with a more negative angle.
Sometimes though, the person just does not like to admit they are wrong. Or even worse, for some, is to acknowledge that you are right! One way to check what they mean is to ask them, ‘Does that mean I am right?’. Sometimes their reaction to that question is the best bit regardless of what their answer is. In my experience of asking the question, I have noticed it really gets people to stop and think.
Enjoy those times when ‘you’re not wrong’ means ‘you‘re right’!