load and change this php script using JQuery

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PHP

jQuery

<script src="http://code.jquery.com/jquery-1.5.min.js"></script>
  <script>
  $(document).ready(function () {
  var $article = null;
  var $business = null;

  $('#category').change(function () {
   var categoryName = $('#category').val();

   if ($article == null) {
    $article = $('<h4>Select a business you wish to view.</h4><select id="article" name="article">
    <option value="0">Select A Business To View Listing</option>
    </select>').appendTo('.query');
   }
   });
  });
</script>

Using this JQuery script can you adjust it to run this query upon selecting an object from the first select box & change the query to include the selection Where Category = "$('#category').val();"

<?php
        $con = mysqli_connect(,,,,);
        // Check connection
        if (mysqli_connect_errno())
           {
           echo "<option>Failed to connect to MySQLi</option>" ;
           }
        $result = mysqli_query($con,"SELECT Bname FROM Business WHERE Category='$('#category').val();
' ");
         while($row = mysqli_fetch_array($result)) {
          echo "<option value='".$row['Bname']."'>".$row['Bname']."</option>";
          }
          // Free result set
         mysqli_free_result($result);
         mysqli_close($con);
?>