...Lets see, how to start.
You said: "process goes all the way to the point where it asks to connect the printer and then gets stuck without any further messages".
I need you to do several tests:1)
Test the USB cable, try another cable or another PC to proceed with the installation, if the problem persist the problem is the cable or the printer, try other cable to verify if is the cable, if is not the cable, the problem is the printer, and it needs tech support intervention for maintenance, a cleaning to the contacts will do, but do not under estimate the clinical eye of an experienced technician, he can tell if there is another problem in the printer.2)
Once we are sure that the cable and the printer are ok, lets install the proper drivers for your Windows version, but before that, please verify that your printer is a "HP LaserJet 1022", because there are other variations, like the "HP LaserJet 1022n" and the "HP LaserJet 1022w", and they use a variation of the same driver. You have posted the "HP LaserJet 1022", so right now I am giving you a link for the download of the drivers of these printer, (if you rectify the model of the printer I'll give you the proper link
- HP LaserJet 1022 (click here to download)
Focus on the driver, if everything works fine, you can download and install the other tools, but there is some thing that I have to tell you before, you can see that there that it says "Plug and Play Basic Driver", it is basic, because HP didn't developed the drivers for Win7, so they made a common and compatible driver, that works with the mayority of the HP printers, it does not garanties that it's going to work, but if it does not works there are other options that we can do, but first lets do the right installation.
Begin with this and post the results.
Try to follow the instructions and if you have any questions, let me know, I'm here to help you clarify.
I'll appreciate that you tell me how it went.