Final answer:
Southern redeemers did not aim to preserve Republican rule, but to oust it and implement segregationist policies; the statement is false.
Step-by-step explanation:
The statement that Southern redeemers hoped to preserve Republican rule in the South is false. Southern redeemers were actually a political coalition in the Southern United States during the Reconstruction era, who sought to oust the Republican coalition of freedmen, carpetbaggers, and scalawags. Instead, they aimed to 'redeem' the South by taking back state governments and implementing policies that enforced segregation and disenfranchisement of African Americans.