I see. Thank you for the responses. Yes that situation does apply to me so it seems like I might owe some income tax.
Say my annual gross income is $100,000 and I spent 4 of the 52 weeks in the year working in California. Will I owe California state income tax as if I only made $100,000*(4/52)=$7692.31 in the year, which would be very minimal, or will I pay a certain percentage of the tax from the total income tax I had for the year which was on a gross income of $100,000?
