And of those respondents that think that data integrity attacks could be a problem, 14% are not sure they would be able to detect an attack and half of organisations think that attacks could be a problem but have not detected any.
According to the study, which was carried out in preparation for the Infosecurity Europe event, which opens in London next Tuesday, only 3% thought that data integrity attacks are not a problem.
Interestingly, only 6% of respondents acknowledged that data integrity attacks are a problem and that they are adequately protected.
Bob Tarzey, an analyst for Quocirca and a keynote speaker at next week's Infosecurity Europe show, said that the lack of confidence around the integrity of critical business data is not surprising.
"This has long been a problem and is likely to get worse as volumes of data continue to grow, unless action is taken. However, that 28% of respondents believe they have been subject to a data integrity attack is a surprise", he said.
"Add to this the fact that most of the others simply do not know and it looks like this could be a growing problem", he added.
According to Tarzey, one reason why data integrity attacks have not been hitting the headlines is because there is currently no pressure to disclose such incidents, as is increasingly the case with the loss of personal data.
Over at the organisers of Infosecurity Europe, Claire Sellick, the event director, said that organisations need to approach managing data integrity risks in the same way as they approach data availability and data confidentiality risks.
"One of the issues with data integrity attacks is that they are much harder to detect than data theft and the compromised data may not be detected for years when the data's validity is questioned", she said.