What's the word for when a person states something as a fact when it is untrue? Not a lie

Isaac Asimov once said to someone about this distinction: "I will allow you to question the accuracy of my statement but never its veracity"

If a statement lacks veracity the speaker is lying. It it is just wrong, then he is inaccurate.

Equivocate

(verb) Use ambiguous language so as to conceal the truth or avoid committing oneself.

I can't make all of these start with an 'e' without misspelling them, but perhaps they'll jog your memory.

Propagandist (with credit to @Dan Bron)

Misinformer

A synonym of propagandist is evangelist. Depending on the context, demagogue might apply.

nescience

(n) Absence of knowledge or awareness; ignorance.

Nescient (adj) is synonymous with misinformed and ignorant, inasmuch as the person either deliberately or unwittingly expounds beliefs that are clearly false

self-deceiving

allowing oneself to believe that a false or unvalidated feeling, idea, or situation is true.

Wikipedia says on self-deception

Self-deception is a process of denying or rationalizing away the relevance, significance, or importance of opposing evidence and logical argument. Self-deception involves convincing oneself of a truth (or lack of truth) so that one does not reveal any self-knowledge of the deception