Which one of the following statements is false:

DNA polymerase can only synthesize DNA in the 5' to 3' direction, while RNA polymerase can synthesize RNA in both the 5' to 3' and 3' to 5' directions.

DNA polymerase requires a primer to initiate DNA synthesis, while RNA polymerase does not require a primer for RNA synthesis.

DNA polymerase has a proofreading function that allows it to correct errors in DNA while RNA polymerase lacks proofreading ability.

DNA polymerase requires a template strand for DNA synthesis, while RNA polymerase doesn't requires a template for RNA synthesis.