A hypothesis is a theory based from observations. Hypotheses generally haven't been tested, they are merely an explanation derived from available observations.
An inference is a conclusion obtained not through observable facts, but rather through observable trends. If such and such process were to continue trending, you would make an inference about the final state of the process. As with hypotheses, inferences have generally not been tested enough to be valid.
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A hypothesis is a statement of fact or belief upon which further conclusions can be drawn. An inference is the meaning that I attribute to someone else's statement or action.
The difference is that working hypothesis is that your still working on it but the hypothesis that your not working on it.
A scientific hypothesis has to be testable.
One does and one doesn't
Hypothesis