Answer:
They think that she can help them in their fight against the Dark Thing on Ixchel.
I believe the answer is: Deductive reasoning
In deductive reasoning, we would collect all the possible explanations of a certain occurrence and started to eliminate which one wouldn't fit to the fact at hand in order to form a certain conclusion. (just like what jason does in making his assumption)
Aristocracy, I beleive. ........................................
