In the United States, Medicare is a national social insurance program, administered by the U.S. federal government since 1965, that guarantees access to health insurance for Americans ages 65 and older and younger people with disabilities as well as people with end stage renal disease (Medicare.gov, 2012).
It is a similar thing for state disability insurance. (Likewise, unemployment insurance is a similar situation; though paid by employers.)
That money isn't going to the company. It's going to the government. You do have an insurance plan, of sorts, from the federal government for Medicare and from CA for disability.