Final answer:
The question's options do not include the correct type of health plan which allows care outside an HMO network, but typically a Point-of-Service or Preferred Provider Organization plan would offer that flexibility, not a staff model HMO or network model HMO.
Step-by-step explanation:
The type of health plan that allows a health maintenance organization (HMO) member to seek care outside of the provider network is not explicitly listed among the options provided in the question. However, looking at the types of HMOs and related health plans that typically offer such flexibility, one is likely referring to a Point-of-Service (POS) plan or a Preferred Provider Organization (PPO) plan, neither of which are mentioned directly in the options. These plans allow members to seek care outside their HMO network but may come at a higher out-of-pocket cost or require a referral. It's important to remember that traditional HMOs like the staff model HMO and network model HMO generally require members to seek care within their network of providers to be covered.
In contrast to HMOs, a Health Savings Account (HSA) is a type of savings account that lets individuals save pre-tax money to pay for qualified medical expenses, but it is not a health plan itself. Options such as a nonprofit health organization, a private hospital, or a governmental agency like Health and Social Services do not directly answer the question regarding seeking care outside an HMO provider network.