Thanks! A friend suggested another option which also worked, but is not as elegant.
I created a numeric field called "N", and filled it with the record number. I created another numeric field called "REMAIND" and finally ran a routine using MOD, like so:
replace all n with recno()
replace all remaind with mod(n,10)
This put a single-digit number in REMAIND from 0 through 9. I could then COPY TO NEWFILE FOR REMAIND = 1 (or any other number I chose) to get a 1/10th selection. Crude, but it worked. The method outlined by MiggyD is a lot more clever because it allows the user to select any "n". I will use it next time. Again, thanks!