Step 1: Build the profile. Graves disease is an autoimmune thyroid disorder where TRAb antibodies drive excess thyroid hormone production, producing hyperthyroidism and a diffusely enlarged toxic goitre.
Step 2: Check sex distribution. The disease overwhelmingly favors women, occurring roughly ten times more often in females than males, typically in women under forty.
Step 3: Identify the incorrect claim. Because three statements (hyperthyroidism, autoimmune, toxic diffuse goitre) are accurate, the false statement is the one calling it common in males, since it is far more common in females.
The sex-distribution claim is the false statement.\[\boxed{\text{Common in male}}\]