$(window).width() not the same as media query

If you don’t have to support IE9 you can just use window.matchMedia() (MDN documentation).

function checkPosition() {
    if (window.matchMedia('(max-width: 767px)').matches) {
        //...
    } else {
        //...
    }
}

window.matchMedia is fully consistent with the CSS media queries and the browser support is quite good: http://caniuse.com/#feat=matchmedia

UPDATE:

If you have to support more browsers you can use Modernizr’s mq method, it supports all browsers that understand media queries in CSS.

if (Modernizr.mq('(max-width: 767px)')) {
    //...
} else {
    //...
}