Final answer:
The statement contains a Straw Man fallacy by exaggerating the principal's proposal for increased physical education to imply an unreasonable time commitment for teachers.
Step-by-step explanation:
The fallacy presented in the statement "The new principal favors an increase in physical education like teachers have time to spend hours on the playground each day?" is an example of a Straw Man fallacy. This type of fallacy occurs when someone misrepresents an opponent's position to make it easier to attack. In this case, the principal's proposal for an increase in physical education is misrepresented to imply that teachers would need to spend an unreasonable amount of time on the playground, which exaggerates the proposal and shifts the argument to a different issue. This fallacy sidesteps the actual argument about the benefits of increased physical education by focusing on the exaggerated time commitment required from teachers.