You are a resident of a state which does not collect a state income tax.
When you work in another state for two weeks, you may be subject to their state income tax depending upon the filing requirements for a nonresident in that state.
Your employer may or may not report the income for each individual state that you worked in and may or may not withhold state taxes for that individual state.
As an employee, your W-2 in boxes 15 through 17 will show what state your income has been reported to.
@blulembo
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