Sorry, I just looked at your screenshot and now I see the issue. I thought you meant the CORS error that is displayed when querying the endpoint without jsonp.
You need to include a script reference to jQuery before making the request like so:
<script src="//code.jquery.com/jquery-1.11.2.min.js"></script>
(place it above your existing <script> tag )
The //logic here will execute when the request succeeds, it really should have an error function declared too like so:
$.ajax({
url:'https://api.twitch.tv/kraken/streams/Jonathan_x64',
dataType:'jsonp',
success:function(channel) {
//request succeeded, check channel status here
},
error:function() {
//request failed
}
});