Sincerely I verify mi configuration and my check_XX are ownre by root. However every user of my host can run and read these file. I have these right 755 for nearly every check_XXX file.
Yuo can change right to your file with chmod command .
to add executor right to every users to check_file write
chmod o+x check_file
to remove right above write:
chmod o-x check_file
or you can use numeric option with 3 digit format
chmod 755 check_file