Step 1: Understanding the Concept:
This analogy is based on a relationship of degree or severity.
Step 2: Detailed Explanation:
A MISDEMEANOR is a minor or less serious type of CRIME. The relationship is "lesser degree : greater degree".
Now let's analyze the answer choices:
\begin{itemize}
\item (A) interview: conversation - An interview is a specific type of conversation, not necessarily a lesser or greater one.
\item (B) lapse: error - A lapse is a temporary or minor failure of judgment or memory. It can be considered a less serious type of error. This fits the relationship well.
\item (C) oath: promise - An oath is a solemn promise, often invoking a divine witness. It is a more serious, not less serious, type of promise. The order is reversed.
\item (D) rebuke: criticism - A rebuke is a sharp or stern criticism. It is a more severe, not less severe, form of criticism. The order is reversed.
\item (E) vendetta: feud - A vendetta is a blood feud, a prolonged and bitter quarrel. It is a very serious type of feud. The order is reversed.
\end{itemize}
Step 3: Final Answer:
The pair "lapse: error" shares the same "lesser degree : greater degree" relationship as "misdemeanor: crime".