Final answer:
The assertion that social institutions change quickly is not true; they usually evolve at a slower pace and are interconnected with other institutions, evolving due to various factors like technology, population, and the environment.
Step-by-step explanation:
The statement about social institutions that is NOT true is C. They change quickly. Social institutions typically evolve and tend to change at a slower pace. They may change as an adaptation to a variety of factors including technology, environment, population, and social movements, but these changes do not usually happen rapidly. Social institutions like religion can be especially resistant to rapid change. However, they can indeed evolve by chance (A), often evolve to address a social problem (B), and are commonly interconnected with other institutions (D) in society, with changes in one potentially triggering changes in others.
For example, as technology progresses, economic institutions may evolve as new jobs are created and old ones become obsolete. Additionally, population changes such as urbanization can lead to changes in family size and structure, which in turn can affect various other social institutions including education, healthcare, and housing. The interconnectivity of social institutions means that they are part of a complex and dynamic system within society.