Final answer:
Option 3, where children moved from a deprived environment into an intellectually enriched one show gains in intelligence, provides strong evidence for the environment's influence on intelligence.
Step-by-step explanation:
The strongest evidence of the environment's role in intelligence is option 3) Children moved from a deprived environment into an intellectually enriched one show gains in intellectual development. This statement indicates a direct connection between changes in the environment and changes in a person's intellectual abilities, thus recognizing the significant impact of environmental stimuli on cognitive development. Studies showed that, while genetics provide a framework for potential intelligence, environmental factors both provide stability and can trigger the manifestation of cognitive abilities. Furthermore, the Range of Reaction theory proposes that although genetic potential is fixed, whether one reaches full intellectual potential largely depends on environmental factors, especially during childhood.