jQuery Mobile チェックボックスの検証が機能しないのはなぜですか?

<script type="text/javascript">
  function validate(){
    if (remember.checked == 1){
      alert("checked") ;
    } else {
      alert("You didn't check it! Let me check it for you.")
    }
  }
</script>

<input>

<script type="text/javascript">
    function validate() {
        if (document.getElementById('remember').checked) {
            alert("checked");
        } else {
            alert("You didn't check it! Let me check it for you.");
        }
    }
</script>