@freeradicals,
How I would do it: set up a table that looks like:
Person, Zip Code, Time Period, Food Stamps
------------------------------------------------
1, 70001, old, no
2, 70002, new, yes
...
You should have around 80 records, 54 old and around 26 new. There should be no blanks. Then build a model with Zip Code and Time Period as the independent variables and Food Stamps as the dependent variable. Ensure that zip is set up as a nominal value instead of a continuous variable.