set value string in to dropdown in jquery code example

Example 1: change value of drop down using jquery

$('#ddlID').val('New_OptionValue').change()

Example 2: how to set dropdown value in textbox using jquery

$('#chosen_a').change(function(){
     //get the selected option's data-id value using jquery `.data()`
      var criteria_rate =  $(':selected',this).data('id'); 
     //populate the rate.
    $('.criteria_rate').val(criteria_rate);
});