Your "statistics" are nonsense.  Alaska Natives "don't even show up" because they make up a tiny percent of the population of the US.  The real way one would analyze this would be "participation rates" based on race, location, or what ever your criteria. 

See the table below.

 TABLE 7–1 Participation Rates of Households in Means-Tested Welfare Programs, 1994–1996 (percent)
                             AFDC   -   Food Stamps  -    Medicaid   -     Housing
Hispanic                12   -   20   -     25-      9
White                       3   -    6  -        8   -      4
Black                       14          - 23    -              27          -     15
Native                     16       -        25        -         44       -     11
Asian                       5         -         7                -  14  -        5

 SOURCE: Authors’ tabulations from the March 1994, 1995, and 1996 Current Population Surveys.  American Becoming:Racial Trends and their Consequences, Vol II  (2001)