What if my company made an error and claimed my income to a different state and did not withold income tax?

My company is in MA and claimed on my W-2 that my income was from NY and did not withhold any NY taxes but withheld MA taxes. This was not an error on my part but an error on their part. all my documentation i submitted states MA not NY. am i liable to pay NY now since my income was reported as NY income?