MySQL App Template

[nmz]

I get mysql connection error when I use MySQL App Template.

Thais is error what I got :
11940:20160126:164832.709 zbx_popen(): executing script
mysqladmin: connect to server at 'localhost' failed
error: 'Can't connect to local MySQL server through socket '/var/lib/mysql/mysql.sock' (13)'
Check that mysqld is running and that the socket: '/var/lib/mysql/mysql.sock' exists!
and this is my userparameter_mysql.conf

 11940:20160126:164832.709 zbx_popen(): executing script
mysqladmin: connect to server at 'localhost' failed
error: 'Can't connect to local MySQL server through socket '/var/lib/mysql/mysql.sock' (13)'
Check that mysqld is running and that the socket: '/var/lib/mysql/mysql.sock' exists!

and that is piece of zabbix_agentd.conf

### Option: Include
#	You may include individual files or all files in a directory in the configuration file.
#	Installing Zabbix will create include directory in /usr/local/etc, unless modified during the compile time.
#
# Mandatory: no
# Default:
# Include=

#Include=/etc/zabbix/zabbix_agentd.d
Include=/etc/zabbix/zabbix_agentd.d/userparameter_mysql.conf
#Include=/etc/zabbix/zabbix_agentd.d/userparameter_mysql.conf
# Include=/usr/local/etc/zabbix_agentd.userparams.conf
# Include=/usr/local/etc/zabbix_agentd.conf.d/

One more file which I was setup in /var/lib/zabbix/ is .my.cnf

[mysql]
user=root
password=password
[mysqladmin]
user=root
password=password

[PS : I used root as mysql user. I can't login in mysql with zabbix user from other host. Willing to get any help also about mysql privileges.]