Please find this information and add it to the thread. Just cut and paste and add a link please. Thanks for your help.
I would suggest you do the opposite. Prove that it's needed and effective.
I went to the previous link you posted from the CDC. The numbers are staggeringly low in the attempt to bolster your position when you factor in all the "mays", "cans", "mights", "possibly", etc.
For example:
There are several ways that people can lower their chances of getting HPV:
The text in red is my emphasis. Note that it does not say the the vaccine will prevent it but merely "lower your chances" of getting it.