Cara mengoneksi berhasil

<?php
$user_name = "root";
$password = "";
$database = "mahasiswa";
$host_name = "localhost";

$sambung = mysql_connect ($host_name, $user_name,$password);

if ($sambung){
    echo "koneksi Berhasil";
}
else {
    echo "koneksi Gagal";
}
?>