Premise:
"It was about thirty foot away from the house, maybe, and I sort of got it into my head that, if I climbed up that tree, I'd very likely be able to see into that room."
Hypothesis: I did not think I could see into the room if I climbed a tree.

no

Premise:
"I was unconvinced that a case for preserving species diversity can rest on our innate love of a species-rich, savanna-like ancestral environment."
Hypothesis: The case was not able to rest on our love of a rich environment in my opinion.

yes

Premise:
"The square has a pretty flower market, and you know you're approaching the south of France when you see your first serious games of boules here."
Hypothesis: The square houses a place where they sell flowers.
yes