Clipping masks in ai CS5 deletes strokes and other crazy things

Question

When creating a clipping mask, Illustrator CS5 deletes the stroke on the mask itself and when I add the stroke back in, it adds the same stroke to objects within the clipping mask.
In the file below, Figure 1 shows a rectangle with a black stroke and an orange circle with no stroke. Figure 2 shows the result of creating a clipping mask - the black stroke on the rectangle has been deleted. Figure 3 shows the result of adding the black stroke to the mask - it adds the stroke to the orange circle as well.
This is one of the many things about Illustrator that lead me to believe that the people at Adobe have never tried to work with their own programs. Why on earth would I want the stroke to be eliminated in the first place and why would I want it to be added to the items inside the mask when I go to replace it?
Is there something I should do differently or is this yet another oversight I'll have to work around forever?

Answer 1

Thank you to Larry and Scott! That's exactly right. I wasn't aware that by making a clipping mask you also make a group (and I'm not entirely sure that it logically should) but using the direct selection tool does the trick.
Thanks again,
Dave