rocknbil - 3:28 pm on Mar 28, 2012 (gmt 0)
<?php bloginfo('template_url'); ?>//localhost:8888/cnb_press/wp-content/themes/cnb-zip1/state_style.css" media="screen" />
If you echo out template_url, I think you'll find it already contains //localhost:8888/cnb_press/wp-content/themes/cnb-zip1/. (And then, only if you're testing locally, otherwise it will be an http(s) URI.) So try
<?php bloginfo('template_url'); ?>/state_style.css" media="screen" />
May or may not need the slash.