Sentence 1: Dirty Yanks! Anse's eyes were fully focused now right on the sergeant.

Sentence 2: Anse is looking at the sergeant.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: Admirably (to many) resisting this commercial tide, the NewsHour seems even more civil and staid.

Sentence 2: The NewsHour is very civil and calm.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: My sense is that there are a lot of applicants for [public service] jobs, said Dean Harbaugh.

Sentence 2: The applicants desire any job at this moment in time, so are applying for anything available, in turn increasing the number of applicants for these public service jobs.
Is this second sentence entailed by the first?

Answer:
it is not possible to tell