I used this script in my website. But it doesn't work in IE8 or lower versions. Is it possible to work perfectly in all browsers?

<script type="text/javascript" src="/web/upload/js/jquery-1.3.2.js"></script>
    <script type="text/javascript">
        $(function() {
            $(window).scroll(function(){
                var scrollTop = $(window).scrollTop();
                if(scrollTop != 0)
                    $('#header').stop().animate({'opacity':'0'},400);
                else    
                    $('#header').stop().animate({'opacity':'1'},400);
            });

            $('#header').hover(
                function (e) {
                    var scrollTop = $(window).scrollTop();
                    if(scrollTop != 0){
                        $('#header').stop().animate({'opacity':'1'},400);
                    }
                },
                function (e) {
                    var scrollTop = $(window).scrollTop();
                    if(scrollTop != 0){
                        $('#header').stop().animate({'opacity':'0'},400);
                    }
                }
            );
        });
    </script>