All you miss is to call the jQuery library
<script src="http://code.jquery.com/jquery-1.10.2.min.js"></script>
<script type="text/javascript">
$(function() {
var count = localStorage.getItem('count') || 20;
var countdown;
countdown = setInterval(function() {
--count;
if(count>0){
localStorage.setItem('count', count);
$("p.countdown").html(count + " seconds remaining!");
}else{
clearInterval(countdown);
localStorage.removeItem('count');
window.location = 'http://stackoverflow.com/';
}
}, 1000);
});
</script>
<p class="countdown"></p>