Premise:
"Save the Mars Polar Lander or don't, just someone tell NASA it's blocking my driveway."
Hypothesis: NASA has nothing to do with the Polar Lander.

no

Premise:
"wow i dropped the phone"
Hypothesis: I dropped the phone I was holding.

yes

Premise:
"Noyers is a fortified medieval village with 16 towers in its ramparts."
Hypothesis: There are 16 towers in the ramparts surrounding Noyers.
yes