Those were my thoughts as well; I normally associate the word 'hypothesis' with the empirical sciences. A hypothesis might be something along the lines of "I be

Those were my thoughts as well; I normally associate the word 'hypothesis' with the empirical sciences. A hypothesis might be something along the lines of "I believe I shall observe [x] when [y] happens". Justification seems tangential, because it's about corresponding some prediction to some observation. A conjecture seems more "We observe [x], but there is no way to formally justify why this happens, or if it always happens." I don't know if there's actually a distinction between these two – it's just my (perhaps naive) perspective.