SELinux is preventing /usr/sbin/NetworkManager from 'unlink' accesses on the file /etc/hosts.

*****  Plugin restorecon (94.8 confidence) suggests  *************************

If you want to fix the label. 
/etc/hosts default label should be net_conf_t.
Then you can run restorecon.
Do
# /sbin/restorecon -v /etc/hosts

*****  Plugin catchall_labels (5.21 confidence) suggests  ********************

If you want to allow NetworkManager to have unlink access on the hosts file
Then you need to change the label on /etc/hosts
Do
# semanage fcontext -a -t FILE_TYPE '/etc/hosts'
where FILE_TYPE is one of the following: dhcpc_var_run_t, net_conf_t, pppd_var_run_t, dnsmasq_var_run_t, named_cache_t, NetworkManager_tmp_t, NetworkManager_etc_rw_t, NetworkManager_log_t, dhcpc_state_t, NetworkManager_var_lib_t, NetworkManager_var_run_t, root_t. 
Then execute: 
restorecon -v '/etc/hosts'


*****  Plugin catchall (1.44 confidence) suggests  ***************************

If you believe that NetworkManager should be allowed unlink access on the hosts file by default.
Then you should report this as a bug.
You can generate a local policy module to allow this access.
Do
allow this access for now by executing:
# grep /usr/sbin/NetworkManager /var/log/audit/audit.log | audit2allow -M mypol
# semodule -i mypol.pp

Additional Information:
Source Context                system_u:system_r:NetworkManager_t:s0
Target Context                unconfined_u:object_r:etc_t:s0
Target Objects                /etc/hosts [ file ]
Source                        NetworkManager
Source Path                   /usr/sbin/NetworkManager
Port                          <Unknown>
Host                          (removed)
Source RPM Packages           NetworkManager-0.8.1-10.git20100831.fc14
Target RPM Packages           setup-2.8.28-1.fc14
Policy RPM                    selinux-policy-3.9.7-19.fc14
Selinux Enabled               True
Policy Type                   targeted
Enforcing Mode                Enforcing
Host Name                     (removed)
Platform                      Linux (removed)
                              2.6.35.10-74.fc14.x86_64 #1 SMP Thu Dec 23
                              16:04:50 UTC 2010 x86_64 x86_64
Alert Count                   8
First Seen                    Thu 30 Dec 2010 12:01:42 PM PST
Last Seen                     Thu 30 Dec 2010 02:03:10 PM PST
Local ID                      8a2fd4bd-b9cc-4f7f-a9f9-a8ab37818c8c

Raw Audit Messages
type=AVC msg=audit(1293746590.419:34644): avc:  denied  { unlink } for  pid=1426 comm="NetworkManager" name="hosts" dev=dm-0 ino=917899 scontext=system_u:system_r:NetworkManager_t:s0 tcontext=unconfined_u:object_r:etc_t:s0 tclass=file

NetworkManager,NetworkManager_t,etc_t,file,unlink
type=SYSCALL msg=audit(1293746590.419:34644): arch=x86_64 syscall=rename success=no exit=EACCES a0=fc55f0 a1=48b319 a2=1033670 a3=1 items=0 ppid=1 pid=1426 auid=4294967295 uid=0 gid=0 euid=0 suid=0 fsuid=0 egid=0 sgid=0 fsgid=0 tty=(none) ses=4294967295 comm=NetworkManager exe=/usr/sbin/NetworkManager subj=system_u:system_r:NetworkManager_t:s0 key=(null)
NetworkManager,NetworkManager_t,etc_t,file,unlink

#============= NetworkManager_t ==============
allow NetworkManager_t etc_t:file unlink;