How to set radiobuttonlist selected value and clear on check box changed event using jquery in asp.net

// HTML

<asp:CheckBox ID="CheckBox1" runat="server" Font-Bold="True" Text="Select" onchange="return SetRadios();"></asp:CheckBox>

<asp:RadioButtonList ID="rdBtnSHG" runat="server" Width="378px" RepeatDirection="Horizontal">

             <asp:ListItem Value="1">Add new</asp:ListItem>

              <asp:ListItem Value="2">Add+Update</asp:ListItem>

  </asp:RadioButtonList>

// JS

function SetRadios() {

      

            if ($('#<%=cbSHG.ClientID%>').is(":checked")) {

                $('[id*=rdBtnSHG]  :radio[value="1"] ').prop('checked', true);

            }

            else {

                $("#<%= rdBtnSHG.ClientID %> input[type=radio]").prop('checked', false);

            }           

             return false;

    }