Final answer:
Kate may have rights to claim for her injuries in this negligence case. Ted is liable for driving while intoxicated and causing the accident. The doctor and hospital may also be liable for negligence in not promptly treating the infection.
Step-by-step explanation:
In this scenario, Kate may have rights to claim for her injuries. The tort involved in this case is negligence. The legal rule that needs to be considered is the duty of care owed by Ted as the driver of the car. Ted had a duty to drive responsibly and ensure the safety of his passenger. By choosing to drive while under the influence of alcohol, Ted breached his duty of care.
The next legal rule to consider is causation. Ted's loss of control of the car and crash into a lamp post directly caused the injuries sustained by Kate. The infection in Kate's arm at the hospital may also be attributed to the initial injury caused by the crash. However, the doctor's decision to not treat the infection immediately may have contributed to the partial paralysis of Kate's right arm.
In terms of liability, Ted can be held liable for negligence for driving while intoxicated and causing the accident. The doctor and hospital may also be held liable for negligence for not promptly treating the infection. Kate can file a personal injury claim against Ted and potentially the hospital for her injuries, including medical expenses, pain and suffering, and any long-term effects of the paralysis.