Here's an interesting mystery for you: I wrote an article with this title back in 2005, with the original question thusly:
"Dave, I was hoping you could help on this really security alert that keeps on coming up every time I go on the Internet. The alert states the following:
Information you exchange with this site cannot be viewed or changed by others. However, there is a problem with the site's security certificate. The security certificate was issued by a company you have chosen not to trust. View the certificate to determine whether you want to trust the certifying authority. The certificate is valid and the security certificate has a valid name matching the name of the page you are trying to view.
I would be very grateful if you could help stop this security alert from appearing in future."