Final answer:
Kumagai should exemplify traits of extreme loyalty, honor, and adherence to the bushido code, such as readiness for self-sacrifice, as per the instructions of Hojo Shigetoki and the ideals of samurai behavior.
Step-by-step explanation:
The question asks how Kumagai in a historical story embodies the ideals given by Hojo Shigetoki to his son regarding samurai behavior. The samurai ethos, particularly during the Sengoku and Tokugawa periods, stressed unwavering loyalty to one's master, the readiness to face death, and strict adherence to the bushido, the samurai code of conduct. Kumagai's actions in the tale should therefore be examined against these principles, looking for evidence of loyalty, honor, and adherence to the bushido.
For instance, a samurai practicing bushido would display extreme loyalty and would be prepared to commit seppuku if they failed to live up to their obligations. Kumagai's conduct is expected to align with the samurai's disdain for capture or defeat and his commitment to duty over personal wellbeing, as elucidated in the context provided.