Final answer:
The statement is false because the KE family's FOXP2 mutation is not the same as in chimpanzees. FOXP2 is involved in vocalizations, but the human speech and language capacity is complex and involves multiple genetic factors.
Step-by-step explanation:
The statement that some members of the "KE" family have the same mutation of the FOXP2 found in chimpanzees, which explains why chimpanzees are unable to speak like modern humans, is False. While the KE family has a mutation on the FOXP2 gene that is linked to language and speech disorders, this mutation is not the same as that found in chimpanzees. The FOXP2 gene plays a role in vocalizations and is present in many vertebrates, including primates, but the human FOXP2 has specific mutations that distinguish it from that of nonhuman primates such as chimpanzees. Moreover, language ability in humans is complex and not due to a single gene, as it also involves various anatomical and cognitive developments tied to different parts of the genome.