The process of carefully reading written material and marking errors for correction is known as:

The process of carefully reading written material and marking errors for correction is known as proofreading. Proofreading involves a thorough review of a document to identify and rectify any spelling, grammar, punctuation, or formatting mistakes. This step is crucial in ensuring the quality and professionalism of any written communication, particularly in a medical administrative context where accuracy is essential.

Proofreading requires attention to detail and a good understanding of language rules, as it not only focuses on surface-level errors but also captures inconsistencies in style and clarity. This process is typically the final step in the writing process, ensuring that the text is polished and error-free before it is finalized and distributed.

Other options like immediate feedback pertain to providing instant corrections or comments during the writing process, while spell-check refers to the automated tool that checks for spelling errors but does not encompass the broader scope of reviewing grammar and punctuation. Context review typically involves examining the content for relevance and coherence rather than specifically identifying errors. Thus, proofreading is the most suitable term that accurately describes the activity of reading and marking corrections to a written text.