My checkbox in the admin area is working half way.

I am trying to add a checkbox into the admin area so that when you click the box, it will display some html. when you uncheck it, the html goes away. I got the checkbox in the admin area, but I can’t get the content on the index page.

my checkbox in the array

array(	"name"	=> "Feedburner: ",
			"desc" => "Display feedburner on the homepage",
			"id"	=> $shortname."_feedburner",
			"std"	=> "",
			"type"	=> "checkbox"),

my checkbox in the form

<td width="20%" rowspan="2" valign="middle"><strong><?php echo $value['name']; ?></strong></td>
                <td width="80%"><?php if(get_settings($value['id'])){ $checked = "checked=\"checked\""; }else{ $checked = ""; } ?>
                        <input type="checkbox" name="<?php echo $value['id']; ?>" id="<?php echo $value['id']; ?>" value="true" <?php echo $checked; ?> />
                        </td>

at the top of my page I am getting the options

<?
global $options;
foreach ($options as $value) {
    if (get_settings( $value['id'] ) === FALSE) { $$value['id'] = $value['std']; } else { $$value['id'] = get_settings( $value['id'] ); }
}

I tried many different ways to get the results

if($church_feedburner == "true")
if($church_feedburner)
if($church_feedburner = $checked)

what am I doing wrong. I noticed that the value does show up in the database. But when I uncheck the box, the value disappears. How can I make the value say false instead of leaving the database all together