The dialog context
Turing proposed at the end of the description of his famous test, "Will the interrogator decide wrongly as often when the game is played like this as he does when the game is played between a man and a woman? These questions replace our original, 'Can machines think?'"1
Turing effectively challenged the 1641 statement of René Descartes in his Discourse on Method and Meditations on First Philosophy:
"It never happens that [an automaton] arranges its speech in various ways, in order to reply appropriately to everything that may be said in its presence, as even the lowest type of man can do."
Descartes and Turing, when discussing automatons achieving human abilities, shared a single context through which they perceived intelligence. Those that have been either the actor or the administrator in actual Turing Tests understand the context: Dialog.
The context of the dialog is distinct from other contexts such as writing a textbook, running a business, or raising children. If you apply the principle of comparing machine and human intelligence to automated vehicles (e.g. self-driving cars), an entirely different context becomes immediately apparent.
Can a brain be intelligent without a body? More generally, does intelligence require a context?
 Chapter 1 ("Imitation Game") of Computing Machinery and Intelligence, 1951.