Today I bought and am trying to install an HP Office Jet, designation J5780. I installed the two printer cartridges that were in the box with it, yet a message keeps rolling across the printer stating that these are the wrong cartridges. When I trouble shoot on the computer, I get the same message. Why????

If the new (or refilled/reman/compatible) HP 74, 75, 74XL, or 75XL ink cartridge refuses to complete the printer alignment following cartridge installation, then the ink cartridge either has a connectivity issue with the flexible printed circuit cable (inside unit where cartridge mates with cable), rear cartridge contacts or cable contacts are dirty with ink residue, or the cartridge is suffering from marginal internal electrical performance.
These types of severe cartridge errors (i.e. refer to documentation / incompatible cartridges, print cartridge(s) problem, etc.) typically indicate the internal micro electronics of the HP 74/75 cartridge are damaged. The cartridges electrical wire runs at rear and lower side of the ink cartridge, are very delicate and are somewhat susceptible to ink attack over time, which can lead to premature failures. In addition, the older the cartridge the higher the chance of an internal micro electronics failure.
I suggest you first run a Tap 41 diagnostic test to check cartridges electrical health (this is a special forced service test; refer to Inkjet411 videos so you understand how to activate and read the HP OJ printer diagnostics print out).
http://inkjet411.retailinkjet.com/?page_id=544

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Try switching the cartridges around.You may have them reversed.
Black in Color slot - Color in Black slot.