Calling function as if it had a C-u prefix

[torys.anderson@gmail.com (Tory S. Anderson)]

I'm playing around with hydra and am trying to bind a key to do the equivalent of `C-u org-clock-in`. I've tried following a related question on SO[1] but it doesn't seem to be working. Can anyone tell me where I'm off? 

--8<---------------cut here---------------start------------->8---
(global-set-key
 (kbd "C-c o")
 (defhydra hydra-org-time-management (:color blue)
   "Org"
   ("w" (let ((current-prefix-arg 4)) (org-clock-in)) "clock-in")))
--8<---------------cut here---------------end--------------->8---

Footnotes: 
[1] http://stackoverflow.com/questions/12827887/emacs-universal-argument-c-u-in-a-function