Ping is a a program owned by root with the user id bit set.
$ ls -l `which ping`
-rwsr-xr-x 1 root root 35752 Nov 4 2011 /bin/ping
As I understand it, if a user runs the ping process, then the effective user id will change from the real user id (i.e. the user id of the person who launched the process) to the user id root. However when I try this and look at the output of ps to see if the ping process is running as the root user, I still get the real user id showing.
ps -e -o user,ruser,euser,cmd,args | grep ping
sashan sashan sashan ping -i 10 -c 1000 www.goog ping -i 10 -c 1000 www.google.com