QUESTION: Premise: "A man in a black shirt prepares to perform in front of a microphone."
Hypothesis: "A man is cooking at home."
Do we know that the hypothesis entailed by the premise?

Let's solve it slowly: The man can't be preparing to perform inn front of a microphone and cooking at home at the same time.
The answer is no.

QUESTION: Premise: "Many people in costumes are smiling at a party."
Hypothesis: "Empty costumes are displayed in an storage room."
Do we know that the hypothesis entailed by the premise?

Let's solve it slowly: A party is not something that happens in a storage room.
The answer is no.

QUESTION: Given the sentence "A man in a purple shirt sings into a microphone while a man in a black hat plays guitar." is it true that "A man runs a marathon."?

Let's solve it slowly:
Sings into a microphone cannot be done simultaneously with runs a marathon.
The answer is no.