Premise:
"However, if I know the new way is inappropriate, I cannot be permitted to cave."
Hypothesis: I shouldn't be allowed to give in if I know the new way is good.

yes

Premise:
"[The pro bono project] is a great asset for all of us, she said. "
Hypothesis: Her opinion is that the pro bono project will sink them all.

no

Premise:
"um-hum um-hum get a kitten yeah um-hum"
Hypothesis: Get a baby cat.
yes