$_COOKIE superglobal is empty unless I am logged in

Hello! I am using the latest version of wordpress, but for some odd reason, I can’t seem to read cookies off of my own domain.

I created a blank template with only the following code:

<?php
/*
Template Name: Test
*/

setcookie('shabba', 'voted-'.$_SERVER['REMOTE_ADDR'], time() + (86400 * 14 * 30), '/');
?>

<?php var_dump($_COOKIE); ?>

I can immediately see the cookie get set via firebug or chrome or internet explorer. However, the when doing a var_dump, it shows the array being empty. (array(0) { } )

When I log in and then pull up a page that has my blank template, it immediately shows all cookies, including the one that I set before logging in.

Is there something in wordpress that clears the $_COOKIE superglobal? If so, how do I override this behavior?

When searching the forums, there is a lot of information on setting cookies, but no one seems to report this issue.

Thanks in advance for any tips.