You might know the most minute of details for C14 dating at least:
I've submitted nearly 600 samples, and well as lectured on the subject and done one monograph. This is on the archaeological end, not the intimate details of the processing.
If the sample's signal is lost in the background how is that reported?
In the context of this discussion there is an important difference between: The sample is 50,000 years old and the sample is at least 50,000 years old.
When a sample returns a measured age you get a figure such as 10,000100. If the C13 is measured as well you will get the conventional age (corrected for C13), and that is expressed in the same way.
If the sample is old enough to be lost in the background radiation it would be expressed as >50,000 (for example).
Do you have actual reports?
Here is a link to a blog showing how creationists missed the ">" sign (probably from not knowing what it meant) and used the resulting dates on natural gas to "prove" a young earth, when in fact they were expressing the limits of the equipment being used:
http://blog.darwincentral.org/...e%E2%80%9D-%E2%80%94-part-v
This link has references to an article in
Radiocarbon. (I assume this is what you mean by "actual reports."