Final answer:
Genie's case reveals that while semantics can be learned after the critical period for language acquisition, syntax cannot, supporting the idea of a critical period for syntax.
Step-by-step explanation:
The statement that there is a critical period for syntax but not for semantics as evidenced by the case of Genie is true. When Genie was exposed to language after years of deprivation, she could learn words and their meanings, demonstrating that her semantic capabilities had potential for development beyond the critical period hypothesized for language acquisition. However, she struggled with the syntax or grammatical structure of language, suggesting that the ability to understand and produce grammatically correct sentences may indeed have a critical period, which was unfortunately missed in Genie's case. This differentiation in her language acquisition supports the critical period hypothesis specifically for syntax.