Which of the following terms refer to deliberate critical thinking about the causes of public problems and which policy choices make the most sense to address them?

The correct answer to the following question will be "Policy Analysis".

Explanation:

Policy analysis is a method used by the public sector to enable public servants, activist groups and many others to investigate and analyze the options available for implementing the objectives of the legislation and elected representatives. This word refers to indiscriminate critical thought regarding the current causes of public difficulties and which policy decisions make its most sense in addressing them. The approach is also used in the operation of big organizations including complicated policies.

Therefore, Policy Analysis is the right answer.