This is an important question that is highly dependent upon an individual's perspective as well as the educational jurisdiction. This question is actually linked to the purpose of assessment and evaluation as it is conceived within the context.
For example, it may be necessary for a publicly funded institution to respond to the needs of the general public from which they receive their funding. Essentially, the institution is responsible to provide a return to it's financial benefactor. In a case like this, it may be logical for the public to ...
How much influence is appropriate or even possible for the public to have over the assessment activities of public and private institutions? This post discusses some of the factors which may mitigate public control over education, particularly in the context of the economic value of education. Examples are provided to further aid in the discussion provided.