Not even close.
If X is 27.83% then saying "X is 27.71% +0.3%/-0.1%" is a valid estimate, however saying it's 6.5% is a blatant lie.
They have an evidence of who lives in the state and their exact ages -> that gives the workforce.
DOL has the number of people working. Combine the 2 and you have the true employment picture.