[jQuery] Look for

[so.phis.ti.kat]

Hello Everyone,
I tried doing a search and found some possible solutions but was not
able to get it working for my markup so I am wondering if the
following can be done and how.

Markup
<ul class="pages">
     <li class="page">
          <a class="current" title="Edit index" href="#"> index</a>
     </li>
     <li class="page">
          <a title="Edit menu" href="#"> menu</a>
          <ul id="menu" class="categories">...</ul>
     </li>
     <li class="page">
          <a title="Edit menu" href="#"> catering</a>
          <ul id="catering" class="categories">...</ul>
     </li>
</ul>

So I want to say, when you click on any <li class="page"></li>, look
to see if that <li> has a child <ul>... thats it for now. I later want
to use the effects to "show" and "hide" the contents of that <li>.

jQuery
$(document).ready(function (){
         $("li.page").click(function (event) {
                  if ($(this).find("ul")) {
                                alert("yes");
                  } else {
                                alert("no");
                  }
         });
});

Thoughts? Is there a better way or better functions to use?
I tried find and children.