Premise: West of Damascus Gate and Highway 1 is the new city of West Jerusalem.

Hypothesis: Highway 1 is west of the new city of West Jerusalem.
Answer: no

Premise: High specificity is also desirable to help ensure that positive tests represent real problems.

Hypothesis: Positive test results indicate a vitamin deficiency in the test subject.
Answer: it is not possible to tell

Premise: Real fights would meet with arrests and fake ones wouldn't and hence would be quickly unmasked.

Hypothesis: Fake fights would meet with arrests and real ones wouldn't.
Answer: no

Premise: In this particular case, let's just say when the original advice was given the wheel was spinning, but the hamster had gone.

Hypothesis: There has been advice given.
Answer: yes