Final answer:
The statement is false because projections show that cultural diversity is increasing, not peaking, and is expected to continue growing over the next 20 years due to demographic changes and the rise of globalization.
Step-by-step explanation:
The statement that cultural diversity within an organization has just about peaked, and will change very little over the next 20 years is most likely false. Current trends and projections by the U.S. Bureau of the Census indicate increased racial and ethnic diversity, with a significant growth in the Hispanic population and continued diversification as women further their careers. Additionally, globalization and technological advancements are promoting diverse workforces, and organizations are recognizing the value of diversity in fostering innovation and competitive business strategies.