<?php get_sidebar(); ?>
to my page.php file I have similar results as tommyzone. However the only page that misbehaves is the home page. Which is the page I've set as a static front page for the site. Below are my results for the home page when the specified settings are selected.
'Show on checked' with unchecked home page = no widget
'Show on checked' with checked home page = no widget
'Hide on checked' with unchecked home page = shows the widget
'Hide on checked' with checked home page = shows the widget
All other pages have the widget displayed or hidden according to how they are selected... It's something about the home page itself...