The statement that best analyzes the effect of World War I on colonial peoples in Africa is:
"Although the war was predominantly fought in Europe, it still had extensive impacts on people in African colonies and their livelihoods."
This statement recognizes that even though the fighting primarily occurred in Europe, the war influenced various aspects of life in African colonies, including economic conditions, social structures, and political consciousness. Many Africans were recruited for labor or combat roles, and the war disrupted local economies and led to significant changes in colonial governance and attitudes.