Which testimony regarding hearsay is permissible according to the provided scenarios?

In the context of hearsay rules, the correct answer pertains to the admissibility of the victim's statement about the cause of death. This statement is generally permissible under the excited utterance or present sense impression exceptions to the hearsay rule, depending on the circumstances surrounding the statement and the timing of its making.

Specifically, rule exceptions allow for statements made under the belief of impending death, known as "dying declarations," to be admitted as evidence in homicide cases. This is due to the belief that individuals on the brink of death are less likely to fabricate information. The victim's statement regarding the cause of death, if made under such circumstances, holds more reliability and trustworthiness.

In contrast, the statements regarding property theft or the physician's observations do not easily fit into well-established exceptions to the hearsay rule. Testifying about the theft would likely require the victim's firsthand account rather than what they heard, making it potentially inadmissible. Similarly, while a physician's observations could be relevant, they do not constitute hearsay but rather direct evidence of what the physician witnessed, which is not typically captured by hearsay regulations.

Thus, the endorsement of the victim's statement about the cause of death showcases an application of hearsay exceptions,