AJAX responseText Each Value Append UL?

Q. How do I return this ajax responseText into a ul li ?

Here's what I have so far, pretty close...

{"readyState":4,"responseText":"[\"value1\",\"value2\"]","responseJSON":["value1","value2"],"status":200,"statusText":"OK"}

 <ul id="list"></ul>

$.ajax ...
          ,complete: function (response) 
                             {
                                    var array = jQuery.parseJSON(response.responseText);

                                    alert(array); // Value1,Value2

                                    $.each(array.split(','), function(item)
                                    {
                                         $('#list').append('<li>' + item  + '</li>');
                                    });

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