Div changes depending on a <select> menu

<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="EN" lang="EN">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />

<title>TEST</title>
<script src="http://ajax.googleapis.com/ajax/libs/jquery/1.8.0/jquery.min.js" type="text/javascript"></script>
<script>
$(document).ready(function () {
    $('.group').hide();
    $('#option1').show();
    $('#selectMe').change(function () {
        $('.group').hide();
        $('#'+$(this).val()).show();
    })
});
</script>

</head>


<body>

<div id="option1" class="group">asdf</div>
<div id="option2" class="group">kljh</div>
<div id="option3" class="group">zxcv</div>
<div id="option4" class="group">qwerty</div>
    <select id="selectMe">
        <option value="option1">option1</option>
        <option value="option2">option2</option>
        <option value="option3">option3</option>
        <option value="option4">option4</option>
    </select>
</body>
</html>