A newborn with serious health issues is often admitted to a neonatal intensive care unit, or NICI, and requires constant care, usually for many weeks. The cost for this treatment is very high and is usually billed to Medicaid. Suppose the personnel who administer Medicaid would like to determine if the median cost for NICU stays exceeded $ 50,000 in 2014. The NICU costs (in thousands of dollars) for a random sample of newborns treated in 2014 are as follows.
22 84 63 14 54 15 77 60 51 65 53 70
Using α = 0.05, perform a hypothesis test to determine if the median cost per NICU stay exceeded $ 50,000 is 2014.