Final answer:
The claim is partly false. While .com domains can be used by entertainment businesses, .edu domains are reserved for educational institutions, not government institutions.
Step-by-step explanation:
The statement that a site with a .com domain is operated by an entertainment business and an .edu domain is controlled by a government institution is partly false. A .com domain is indeed generally associated with commercial or business websites, which can include entertainment businesses. However, the .edu domain is specifically reserved for educational institutions, primarily in the United States, such as colleges and universities, not government institutions. Government websites typically use the .gov domain instead.