Dan Quayle – today's quotation about public speaking

I hadn’t heard about Dan Quayle’s reputation, though at least I had heard of the man. I was researching quotations about public speaking and found this one.
Public speaking is very easy.
~ Dan Quayle
Intrigued, I had to find out more – what was the context?
Why did he say that?
Was he being arrogant?
Was he joking?
I still haven’t discovered the context, but I have discovered some amazing statements attributed to him. What a speaker he really was!!