Blue shade on photo prints

Question

I am an amateur photographer and was very pleased with the photo prints of my HP officejet 6500 wifi.
However, after replacing HP blue and magenta ink units, recently (old ones were empty), the following problem occurs:
I have a blue haze on area's where it should be black/dark, mostly shade area's of a picture.
Dark brown, black, dark red, etc. all have a bluish haze and miss the original deep dark tone.
A light grey shade on a white picture turns into a bluish shade in stead of grey.
White remains white, and other colors seem correct too, though.
Initially it looks like a wrong white balance, but it is not.
Checked this on several monitors, and different PC's and prints at a photo service.
I print on HP photo paper (premium and everyday glossy).
I use Photoshop Elements 10.
I bought new HP ink cartridges again, but the problem remains.
I tried to figure out many settings, maybe I did something wrong, but could not find anything wrong.
I tried to bypass the problem for urgent prints by strongly reducing blue with Photoshop Elements 10, then blue disappears in real blue sections, but the blue haze problem remains.
Bottom line is that I cannot use my HP printer now for printing photographs, but need to for regular presentations at a photographer community where I participate.
Who can advise me what to do, what to change, where to adjust .... ?
Help !!!

Answer 1

Try printing a diagnostic page as shown in Solution Six in this document.  
Bob Headrick,  HP Expert
I am not an employee of HP, I am a volunteer posting here on my own time.
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