adding p to li

adding p to li

hello ,
 
i expect from the below code to add paragraph to each li element and then add "hi" to each paragraph inside the li element , but the code will also change the original paragraphs content to "hi"  and it will works as i expect if i add index with any number to p element like this  $('li').add('p[0]').html('hi');
 
 
 
 
<html>
<body>

<script type="text/javascript" src="jquery-1.8.0.min.js"></script>
<script type="text/javascript">

$(document).ready(function(e) {
   

$('li').add('p').html('hi');


});
</script>


<ul>

<li ></li>
<li></li>
<li ></li>
</ul>
<p>First paragraph</p>




<p>second paragraph</p>

</body>
</html>