Well, thanks for your help. What I was looking for was a complete answer. For the sake of other n00bs who might have a similar question, here IS the complete answer.

In the View:

<script type="text/javascript">
    
    function DoneWithTest()
    {
        var selected = $("input:radio:checked");
        var selArray = new Array();
        for (var a=0; a< selected.length; a++)
        {
            selArray.push(selected[a].value);
        }

           $.ajax({

            url: '../../Test/FinishedTest',
            data: JSON.stringify(selArray),
            type: 'POST',
            contentType: 'application/json; charset=utf-8',

            dataType: 'json',
            success: function (result) {

            },

            error: function ()
            {
                alert("error");
            }

           });


    }
</script>

and in the Controller:

 public ActionResult FinishedTest(List<string> selArray)
 {
    //do something with data
    return View("Index");
 }

It's a little disconcerting that an action like this, which would seem to me, to be a very commonplace occurence, should have such a lack of instructions. I searched many sites looking for a simple answer to what I felt was a simple question, and really never found what I was looking for. I urge all of my colleagues to, when encountering this situation, post clear concise examples for the benfit of others in the community. Again, thanks for your help.