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Interval estimation incorporates a probability statement about the magnitude of the sampling error.
So why isn't the probability statement specified more clearly in most media accounts?
The virtue of this calculation is that it makes possible a probability statement about the composition of the urn, which is not directly observable, in terms of observable data, from the composition of the sample taken from the urn.
Even when the relativization to other background material object statements isn't explicit, the probability statement would seem to be implicitly relative to some background assumption of material normality.
"When Neumann and his colleagues tested out their fingerprint likelihood ratios on mock jurors, participants recognized that making an "identification" was fundamentally different from providing a probability statement.
The familiar rule " If P entails T, then for any Q, P and Q entail T" doesn't apply when T is any kind of probability statement.
Similar(43)
However, for Lewis, both hypothetical and categorical probability are always relativized to an evidence base, despite his occasional talk of a priori valid probability statements as licensing inferences to a conclusion "Probably, P" from evidence.
The tests produce actual probability statements about results.
Probability statements apply in practice to a long series of events but not to individual ones.
This isn't facetious:it shows how probability statements entirely depend on whens and whats.
(Otherwise, the mathematical structure might yield only probability statements approaching random scatters, of little use to anyone).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com