Which of the following information for treatment can be reported to an insurance carrier without the patient's written consent?

A fall at home is considered a personal injury and does not fall under workers' compensation regulations. Reporting this type of injury to an insurance carrier requires the patient's consent, as it is not related to employment or work activities.

A medication overdose is a personal health issue that generally requires the patient's consent for any information to be reported to insurance carriers. This type of incident does not relate to employment and does not have the same legal reporting allowances as work-related injuries.

Motorcycle accidents are also classified as personal injuries and are not covered by workers' compensation unless they occur during work-related activities. Therefore, reporting this information would require the patient's written consent, as it is not inherently connected to their employment.

Sports injuries typically occur during recreational activities and do not relate to the workplace. As a result, any information regarding a sports injury would require patient consent before being reported to an insurance carrier, as it does not fall under the same rules as work-related injuries.