Is my state liability tax the same as the total state income tax on my w2

[Lisa995]

Usually no.  You need to prepare the state return and that will compute the state tax liability.  The state taxes withheld on your W2 will be applied against the liability.  

If the state taxes withheld exceed the liability, the remainder is refunded when you file the return.  

If the state taxes withheld are less than the tax liability, you pay the additional taxes due when you file the return..