jQuery form radio input detection on click

I have a form with an interior portion which is laid out basically like this (due to the way it get's styled in the main directory it has to be laid out -poorly- like this):

<div id="q38_q42">
    <ul name="q38" id="q38">
        <li>
            <input name="q38" type="radio" value="Yes">
        </li>
        <li>
            <input name="q38" type="radio" value="No">
        </li>
    </ul>
    <ul name="q39" id="q39">
        <li>
            <input name="q39" type="radio" value="Yes">
        </li>
        <li>
            <input name="q39" type="radio" value="No">
        </li>
    </ul>
    ...[etc]
</div>

I'd like to have jQuery detect whenever a user clicks "No" for any input inside the <div id="q38_q42"> and display another div in a different location. The display function works fine, but I can't seem to get it to detect the input on click. This is what I've got so far just testing the first "No" input at name="q38" which still doesn't work:

function showDiv(div){$(div).slideDown();}
function hideDiv(div){$(div).slideUp();}

$('input[name=q38]').click(function(){
    if ($('input[value=No]').prop('checked')){
        showDiv('#q43_hidden');
    } else {
        hideDiv('#q43_hidden');
    }
});

Thoughts?