This example puts your JSON into proper format and does an existence check. I use jquery for convenience.
<!-- HTML -->
<span id="test">Hello</span><br>
<span id="test2">Hello</span>
//Javascript
$(document).ready(function(){
var JSON = {"animals":[{"name":"cat"}, {"name":"dog"}]};
if(JSON.animals[1].name){
$("#test").html("It exists");
}
if(!JSON.animals[2]){
$("#test2").html("It doesn't exist");
}
});