Bit error rate objectives
When designing a data transmission link, you design it to meet the "requirements". If the link raw-data error rate is likely high then you either retransmit several times and meet the "requirements" by shear numbers or you design in "packet retransmit protocols" in order to meet the "requirements".

Raw bit error rates can be quite high but, by using the appropriate protocol this can be significantly reduced.

As to whether there is a "standard" that all data links adhere to regarding data-payload errors I would say not - if you are designing something then you are designing to a set of requirements (or a spec) and this takes priority.