User can delete root's file from user's home directory

Hello

I have a big problem.
On my system I have 2 users, root and a test-user named test.
I made this:
(as root, in /home/test)
# touch testfile
# echo probe > testfile

After this I type 'ls -l' and get:

test:/home/test# ls -l
total 4
-rw-r--r--    1 root     root            6 Oct 28 13:27 testfile

OK, it's default, right?

But my problem starts here:

test@test:~$ ls -l
total 4
-rw-r--r--    1 root     root            6 Oct 28 13:27 testfile
test@test:~$ rm testfile
rm: remove write-protected file `testfile'? y
teszt@teszt:~$ ls -l
total 0
teszt@teszt:~$

I don't want to delete files and directories from my ~ which made by 
root. Could anyone help me?

(Sorry about my english, usually only read this language)

Thanks

Jimbo