Final answer:
Central ideas in arguments are often developed through logical reasoning and empirical data, and the most convincing evidence includes facts and logical inferences that are supported by credible sources.
Step-by-step explanation:
Central ideas in arguments are typically developed through logical reasoning and empirical data, as well as through the credible inferences drawn from such data. This corresponds to answer option A). The strongest evidence for explicitly stated and implied ideas in an argument are verifiable facts and logically-drawn inferences. High-quality arguments are constructed in a manner that moves logically from one point to the next, guiding the reader through a thought process supported by credible evidence from reliable sources. This supports the argument and can lead to lasting attitude change if the central route of persuasion is effective. Therefore, to ensure an argument is convincing and robust, it is crucial to incorporate reliable statistical analysis, logical examples, and verified information that form the foundation and supporting structures of the argument.