Final answer:
Eukaryotic gene activator proteins do not recruit DNA polymerase for transcription initiation; instead, they assist in chromatin modification and the assembly of RNA polymerase and transcription factors at the promoter.
Step-by-step explanation:
The false statement is: c) Eukaryotic gene activator proteins stimulate transcription initiation by recruiting a DNA polymerase to the promoter. The correct process for transcription initiation involves eukaryotic gene activator proteins stimulating transcription by recruiting proteins that modify chromatin structure, aiding in the assembly of general transcription factors, and enabling RNA polymerase to bind at the promoter. DNA polymerase is not involved in transcription initiation; rather, it is an enzyme crucial during DNA replication.