Premise: "A chef cooks in a steamy industrial kitchen."\nHypothesis: "The man was cooking with a chef hat on."\nDo we know that the hypothesis entailed by the premise?
Let's think step by step below.
it is not possible to tell
The chef cooks in a kitchen but not all chef's wear a chef hat.

The chef could be a man or a woman.

.

So, the final answer is it is not possible to tell