In this sentences I just want to know whether this sentence is correct.

Natalia is a better cook that I or me. I have I

Your choice of "I" is correct.

The contestants, Malcolm and (she,her) listened carefully to the first question.

The correct sentence would be: "Natalia is a better cook than I am."

To determine whether to use "I" or "me" in this sentence, you can break it down into two separate phrases: "Natalia is a better cook than I" and "Natalia is a better cook than me."

In this case, we need to identify the correct pronoun for the sentence construction. When comparing qualities or abilities, it is generally more appropriate to use the subjective pronoun "I" rather than the objective pronoun "me."

So, the correct sentence is: "Natalia is a better cook than I am."