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 acknowledges the significant effects that the war had on African colonies, despite the conflict being primarily concentrated in Europe. It reflects the reality that African colonies were deeply affected through various means, such as resource extraction, economic disruptions, and changes in social dynamics.