The slogan, 'Swaraj is my birthright and I shall have it' is associated with

Home Rule Movement

The correct answer is Option (4) → Home Rule Movement

This iconic declaration was made by Bal Gangadhar Tilak (also known as Lokmanya Tilak). While he had advocated for Swaraj (self-rule) for years, he famously popularized this specific slogan during the Home Rule Movement (1916–1918).

Tilak, along with Annie Besant, launched this movement to demand self-government for India within the British Empire, similar to the "Home Rule" status enjoyed by Australia and Canada at the time.