Which of the following quality assurance tests signifies the highest level of evaluation?

The choice indicating that a design has been formally verified and tested signifies the highest level of evaluation because it encompasses a comprehensive process of ensuring that both the design and the functionality meet specified requirements and standards. Formal verification typically involves mathematical methods and rigorous analysis to confirm that the design adheres to its specifications without any ambiguities. This process provides a high degree of confidence in the reliability and security of the system, as it goes beyond basic testing and includes a critical assessment of the fundamental architecture and assumptions behind the design.

In contrast, methodically tested and checked refers to thorough testing but may not address the formal verification of design principles. Functionally tested indicates that the functionalities have been tested, but it does not imply a rigorous analysis of the design integrity. Methodically designed, tested, and reviewed suggests a structured approach to the design and testing aspects, but it might not necessarily include the formal verification process that provides the highest assurance level. Therefore, the first option is the most robust in terms of quality assurance evaluation.