Removing jQuery from footer

If your working with a blank theme why don’t you just remove or comment out the wp_enqueue_script('jquery'); in the theme functions.php?

Otherwise your action hook is wrong, use,

add_action('wp_print_scripts','theme_slug_dequeue_footer_jquery');
function theme_slug_dequeue_footer_jquery() {
   wp_dequeue_script('jquery');
}

This will still load the build in jQuery (I think) in /wp-includes/js/jquery/jquery.js?ver=1.8.3

To remove all jQuery from the admin & the front end you have to deregister_script, this will break how the admin functions but it will still be usable (no drag and drop, etc).

add_action('wp_print_scripts','theme_slug_dequeue_footer_jquery');
function theme_slug_dequeue_footer_jquery() {
        wp_deregister_script('jquery');
        wp_dequeue_script('jquery');
    }

Also for just the front end use (this is the one you should be using):

 add_action('wp_print_scripts','theme_slug_dequeue_footer_jquery');
 function theme_slug_dequeue_footer_jquery() {
       if( !is_admin()){
           wp_dequeue_script('jquery');
       }
}