sosmary,
Belize is lovely, but it is not a Crime free Utopia.
I have owned here for years (but am still a "part time" resident)
I have been robbed several times.
Like any Country - there are some areas that are better than others.

If a low crime rates is your sole criteria - there are far more "virtually crime free" areas in the U.S.

The Crime stats. in my Midwest Home Town:
Offense 2001 2002 2003 2004 2005 2006
Murder, Man-Slaughter 0 0 0 0 0 0
Forcible Rape 0 0 0 0 0 0
Robbery 0 0 0 0 0 0
Aggravated Assault 4 3 0 0 0 2

(the cut & paste is a bit askew but you can see my point)