Allow anonymous users to custom menus
If you want your menu access by everyone set access callback TRUE(not need determine function and it pass TRUE,(maybe this is test and you want in future have condtional menu)).

function test_results_menu() {
  $items = array();
  $items['results'] = array(
     'title' =&gt; 'your title',
     'description' =&gt; 'menu description',
    'page callback' =&gt; 'display_test_results',
    'access callback' =&gt; TRUE,
  );
  return $items;
}


function display_test_results() {
  //  TODO Display results
   print "hi";
}


This will be work . please after any change in hook_menu clear your drupal cache.