Final answer:
In a patient with Addison's disease, an ACTH stimulation test would show a lack of adequate cortisol production in response to ACTH, helping to confirm the diagnosis which can then be managed with cortisol replacement therapy.
Step-by-step explanation:
If a patient has primary hypoadrenocortical function (Addison's disease), the expected results of an ACTH stimulation test would show an inadequate increase in cortisol production. This happens because in Addison's disease, the adrenal glands themselves are damaged and incapable of producing sufficient cortisol, even in the presence of increased levels of ACTH. While in a normal response, administration of ACTH would lead to an increase in cortisol production, in patients with Addison's disease, the adrenal glands do not respond adequately, leading to little or no increase in cortisol levels. This lack of response helps to confirm a diagnosis of Addison's disease, which would then typically be managed through cortisol replacement therapy.