With the option -mtime, the find command looks for the files modified more than n days ago. To retrieve the files modified within the last three days I would use the -newer option as in the following code (but probably there is a better way to do this)
Code:
touch -t `date +%Y%m%d%H%M.%S -d "3 day ago"` /tmp/testfile && find . -newer /tmp/testfile -exec chown user:group {} \; && rm /tmp/testfile
The -newer option ensures to retrieve the files more recent than a file modified three days ago.