Given the sentence "Men and women are standing on a street corner." is it true that "The man and woman are standing."?

yes
Explanation: There can be one man and one woman amongst men and women..

Premise: "A teenage girl in a blue shirt wears eye protection while watching a scientific experiment."
Hypothesis: "A girl admires her cake that she made for her home economics class."
Do we know that the hypothesis entailed by the premise?

no
Explanation: If she is admiring a cake she made then she could not be watching a scientific experiment as a cake would not be a part of one..

Premise: "People at a party standing around an illuminated fountain."
Hypothesis: "Nobody at a party."
Do we know that the hypothesis entailed by the premise?

no
Explanation: Nobody means no people present and there could not be people present if no one is there..

Given the sentence "A young adult woman is standing next to a display in a candy store." is it true that "The woman is going to buy a sucker."?
it is not possible to tell
Explanation: Standing next to a display in a candy store does not imply going to buy a sucker..