How can I toggle radiobutton

Question

Say this is my HTML:

Answer 1

Using @Goran Mottram answer just tweaking it a bit to suit the case where radio buttons are not siblings.

$(".accordian-radio-button").click(function(){
    var wasChecked = true;
    if($(this).data('waschecked') == true){
        $(this).prop('checked', false);
        wasChecked = false;
    }
    $('input[name="ac"]').data('waschecked', false);
    $(this).data('waschecked', wasChecked);
})