I have installed Fedora Core 2 and 3, and thoes both start up with a splash screen, so that is normal. Also, the normal installer on FC2 and 3 always asked me to do a media check right after the part you are stuck at. There is a good chance that it may be an issue with your hardware. I had a CD-ROM that would cause a kernel panic everytime I tried to install. Before you start yanking cards and cables, try some of the install options that you are given (says press F* for these options at the install screen). If they arn't on the splash screen for Enterprise, then here is a site with the options...
Especially try the using options like noacpi, noprobe, and apm=off. Also, try the text mode install.