Intelligent tutoring systems (ITS) using artificial intelligence (AI) technology have shown promise in supporting learners with diverse abilities; however, they often fail to meet the specific communication needs and cultural nuances needed by d/Deaf and Hard-of-Hearing (DHH) learners. As large language models (LLMs) provide new opportunities to incorporate personas to AI-based tutors and support dynamic interactive dialogue, this paper explores how DHH learners perceive LLM-powered ITS with different personas and identified design suggestions for improving the interaction. We developed an interface that allows DHH learners to interact with ChatGPT and three LLM-powered AI tutors with different experiences in DHH education while the learners watch an educational video. A user study with 16 DHH participants showed that they perceived conversations with the AI tutors who had DHH education experiences to be more human-like and trustworthy due to the tutors' cultural knowledge of DHH communities. Participants also suggested providing more transparency regarding the tutors' background information to clarify each AI tutor's position within the DHH community. We discuss design implications for more inclusive LLM-based systems, such as supports for the multimodality of sign language.
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