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