The negation to the statement "If you are wearing a hat, you are a baseball fan," would be: "If you are not wearing a hat, you are not a baseball fan."

The given negation is incorrect.

Correct Explanation of Negation

1. Original Statement: "If you are wearing a hat, you are a baseball fan." This can be symbolically represented as $P \implies Q$, where:

   • $P$: "You are wearing a hat."
   • $Q$: "You are a baseball fan."

2. Negation of Conditional Statements: The negation of $P \implies Q$ is logically represented as $P \land \neg Q$. This means that it is true that you are wearing a hat but you are not a baseball fan.

3. Formulating the Correct Negation: Therefore, the correct negation would be: "You are wearing a hat and you are not a baseball fan."

Summary

The incorrect statement provided implies that not wearing a hat guarantees not being a baseball fan, which does not logically follow from the original statement. The proper negation asserts the possibility that one could wear a hat without being a baseball fan.