9.49 Late payment of medical claims can add to the cost of |
health care. An article (M. Freudenheim, “The Check Is Not |
in the Mail,” The New York Times, May 25, 2006, pp. C1, |
C6) reported that for one insurance company, 85.1% of the |
claims were paid in full when first submitted. Suppose that |
the insurance company developed a new payment system in |
an effort to increase this percentage. A sample of 200 claims |
processed under this system revealed that 180 of the claims |
were paid in full when first submitted. |
a. At the 0.05 level of significance, is there evidence that |
the population proportion of claims processed under this |
new system is higher than the article reported for the previous |
system? |
b. Compute the p-value and interpret its meaning. |