prognosis vs prognostication

prognosis and prognostication both are nouns.

Word	Noun	Adjective	Verb	Adverb
prognosis	Yes	No	No	No
prognostication	Yes	No	No	No

As nouns, prognostication is a hypernym of prognosis; that is, prognostication is a word with a broader meaning than prognosis:

Other hypernyms of prognosis include forecasting, foretelling, prediction.

prognosis (noun)	prognostication (noun)
a prediction of the course of a disease	knowledge of the future (usually said to be obtained from a divine source)
a prediction about how something (as the weather) will develop	a statement made about the future
	a sign of something about to happen