(Oops. I hit the wrong key and posted my question before I was done writing it. Here is the rest.)
I have followed the instructions at http://www8.hp.com/h20621/video-gallery/us/en/customer-care/1245168237001/hp-las erjet-p1102w-mac-wireless/video/. The instructions do not work.
Specifically I get through the network setup in the HTML Config in the Printer Utility, but when I open up the Network Preference in System Preferences of the OS, the wireless driver that I should have created with the HTML Config is nowhere to be seen.
My guess is that my problem is somewhere in my "network." I admit I don't know much about the subject. What I have right now is a DSL router that works wirelessly with the Mac Mini. (The Mini, of course, has Bluetooth, too.) In the HTML Config of Printer Utility I entered the "Wireless Network Key" of the router. I would have thought that that would be enough to set up a wireless driver for the printer, but apparently it is not.
Does anyone have any insight as to what I am missing?
Got it! I put this report here for any guidance it may provide anyone else.
I had two (maybe three) problems:
1) I found that HP released a new driver two months ago. I downloaded and installed it. I do not know if it made an effective difference, but I can now see the network name and the security code when I type them into their respective boxes in HTML Config.
2) I had to determine what type of security my router used. If I had known before, I had forgotten. After finding that type, I reset that setting in HTML Config.
3) Here's the step omitted in all instructions I found. After I select the HP in the Airport menu, and after I opened the Network Preference, I went back to the Airport menu and re-selected the router.
Now my printer is connected wirelessly, and I have one less cable.