You should reach a screen "amount used to claim the education credit". If TT has prepopulated that with $4000 or $10,000, you should change it to 0, unless you parents are claiming the education credit, on their return (if you are their dependent). Then it should be $4000.
To get back to that screen, at the education summary screen, scroll down to education information and click edit. You'll have to go thru several screens to get there.
If you are on a full ride scholarship, you do need to enter the 1098-T to report the taxable portion of the scholarship.
Scholarships that paid for non qualified expenses are taxable. Tuition, fees, books and computers are qualified expenses. If box 5 of your 1098-T is more than box 1, TurboTax will usually treat the difference as taxable scholarship income unless you tell it differently. Room & board are not qualified expenses for tax free scholarship.
