context: It is probable that Lily is a swan. Chances are about even that John went to the hallway. It is improbable that Mary got the apple.
hypothesis: It is likely that either Lily is a swan, or Mary got the apple.
valid_hypothesis: It is likely that either Lily is a swan, or Mary got the apple.
invalid_hypothesis: It is probably not the case that either Lily is a swan, or Mary got the apple.
hypothesis_assertion: Either Lily is a swan, or Mary got the apple.