Simple answer: yes, enter $4000. In most cases TurboTax (TT) prepopulates that box with $4000.
The American Opportunity Credit (AOTC) is worth up to $2500 and it only takes $4000 of qualified expenses (tuition, fees, books and other course materials, including a required computer) to get the full credit. The Lifetime Learning Credit (LLC) is worth up to $2000, but takes $10,000 of Tuition and fees to get that. It would be rare for an undergrad not to choose the AOTC.
That screen suggests trying other numbers, but again it's rare for claiming the full $4000, for the credit, to not be the right decision.
Room & board (R&B) are qualified expenses for a 529 distribution, but not for a credit or for scholarships to be tax free.
