I don't see any errors in Firebug, and I can't figure out what's wrong with the AJAX.
PHP:
<?php
$subject = $_POST['subject'];
echo $subject;
?>
Javascript
  <html>
<head>
<script type="text/javascript">
/* <![CDATA[ */ 
    function ajax() {
        if (window.XMLHttpRequest) {
            xmlhttp=new XMLHttpRequest();           
        } else {
            xmlhttp=new ActiveXObject("Microsoft.XMLHTTP");
        }
        xmlhttp.onreadystatechange=function() {
            if (xmlhttp.readyState == 4 && xmlhttp.status == 200) {
                document.getElementById("result_div").value = xmlhttp.responseText;
            }
        }
        xmlhttp.open("POST","message.php",true);
        xmlhttp.send();
        return false;
    }
    /* ]]> */ 
</script>
</head>
<body>
<div id="result_div"></div>
<form action="" onsubmit="return ajax();">
    <select name="teest">
        <option value="hi">hi</option>
    </select><br />
    <input type="text" name="subject"> <br />
            <input type="submit">
</form>
</body>
</html>
 
    