Final answer:
The false statement among the given options is: Each class declaration that begins with the access modifier private must be stored in a file that has the same name as the class and ends with the .java filename extension.
Step-by-step explanation:
The false statement among the given options is:
Each class declaration that begins with the access modifier private must be stored in a file that has the same name as the class and ends with the .java filename extension.
This statement is false because the access modifier (private, public, protected) does not affect the naming or storage of the file. The file name can be different from the class name, and it does not have to end with the .java extension.