Yes, you are correct about Publication 36. Since tax rules can be different for residents and part-year residents in some areas, it is worth checking the part-year resident rules as referenced below.
Next, to make sure the right tax effect is being applied, double-check the input.
When entering details about part-year residency, it is useful for the 2019 tax year to enter the state where you lived December 31, 2019 last.
If this was not how the details were entered, delete the states and re-enter them.
Here is an article: How do I file a part-year state return?
For your reference, here are the 2019 IT-203 Instructions for part-year residents.
