Premise: I have faith in you." Then she was running toward her reluctant carpet.

Hypothesis: After she spoke, she took off sprinting towards her reluctant carpet.
Answer: yes

Premise: Postal Service's long-standing challenges in labor-management relations illustrate the importance of having a shared set of long-term goals and strategies agreed upon by managers, employees, and unions.

Hypothesis: Postal Service's long-standing challenges in labor-management relations illustrate the importance of not having a shared set of long-term goals.
Answer: no

Premise: He still could hear the screams and smell the cooking flesh but he could not accept it.

Hypothesis: He wasn't able to smell anything.
Answer: no

Premise: Do you think you can fool them by leaving the car?

Hypothesis: Leaving the car probably won't fool them.
Answer: it is not possible to tell