context: It is highly likely that Lily is white. It is almost certain that Sandra got the apple. It is probable that John dropped the milk.
hypothesis: It is highly unlikely that lily is white, and John dropped the milk.
valid_hypothesis: There is a better than even chance that lily is white, and John dropped the milk.
invalid_hypothesis: It is highly unlikely that lily is white, and John dropped the milk.
hypothesis_assertion: Lily is white, and John dropped the milk.