how to send the checked boxes value to another page using AJAX

$('input[type="checkbox"]').on('change',function(){
var dataToSend = {checkboxValue:$(this).val()};
$.ajax({
   url: "your URL",
   type:"post",
   data: dataToSend,
   success: function(data,textStatus,xhr){
     //here will be your code on success. your response data will be in parameter "data"
   },
   error:function(xhr,textStatus,errorThrown){

   }
});
}); 

for more reference read http://api.jquery.com/jQuery.ajax/