Thanks for your replay. I sorta figured that is wasn’t going to be simple 
I did some playing around and came up with a way to accomplish what I was looking for. I will post it below for others who want to do the same thing.
It really is not a conditional as much as it will only display the code if the post is in a specific category group.
Commets and suggestions are welcome 
<!--Use below code to determin if post is part of a specfic category group-->
{exp:weblog:categories weblog="weblog_name" category_group="category_group_id"}
{exp:weblog:entries weblog="weblog_name" category="{category_id}"}
<!--Code to run if post is in Category Group above-->
<!--If the post is not in the Category Group then nothing will be displayed-->
{/exp:weblog:entries}
{/exp:weblog:categories}
