I usually see other people being arrogant more often than myself, but that's probably because I judge a lot even if I would not. I can't see myself from outside so I can't tell you if I actually am arrogant, but I think I am, now and then.
I think it's about the fact that we (9s, especially 9w8s maybe?) are usually quite peaceful and calm, but when certain things (for me: freedom or independence, my true desires, etc) are trampled there's no way other people could convince me, so I just shut the dialogue with conclusive sentences that may seem arrogant. These are the only situations in which I enjoy conflict: doesn't matter what they say, I know what I want, it's useless to keep chatting