Where are you getting your numbers?  Alaska has a population of ~700,000 people.  Of those almost 200k are kids.  That leaves just over 500,000 adults.   Our seasonally adjusted workforce hovers around 360,o00.  

So it seems to me that most Alskans would be paying something - especially at the household level where you likely have a working adult to offset the lack of income from any stay-at-home-parent or caregiver.  Alaskans  

Sources: Census, Alaska DOL