Correct spelling, explanation: conjure is the correct spelling, although it may be mistaken with spelling conjour as endings of both words are pronounced similarly. The correct form, conjure comes from Old French conjurer, hence the spelling.

Definition of conjure:
verb, to make something appear magically
An author has the power to conjure a different world in readers’ minds.
In our restaurant, we always conjure a smile on our guests’ faces.

Incorrect spelling, explanation: the correct spelling of this word is conjure, not conjour, because conjure derives from Old French conjurer. The mistake is probably due to pronunciation, which would be similar in both cases.