Check Radio Button when clicking DIV

I'm writing a quiz application using php / jquery. The answer selections are contained like so:

<ul id="answers"> 
    <li> 
        <div> 
        <input type='radio' name='answer_id' value='313'> True
        </div> 
    </li> 
    <li> 
        <div> 
        <input type='radio' name='answer_id' value='314'> False
        </div> 
    </li> 
</ul> 

After being styled w/ css, these answers appear in a container with one answer per line. Each answer has its own box inside the container. I want the user to be able to click anywhere inside the individual answer div and have the radio select become checked.

How can I activate the radio button check when a user clicks in the radio button's container div, using jquery?