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A Certain HMO Is Attempting to Show the Benefits of Managed

question 79

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A certain HMO is attempting to show the benefits of managed care to an insurance company. The HMO believes that certain types of doctors are more cost-effective than others. One theory is that certification level is an important factor in measuring the cost-effectiveness of physicians. To investigate this, the HMO obtained independent random samples of 20 physicians from each of the three certification levels- Board certified (C) ; Uncertified, board eligible (E) ; and Uncertified, board ineligible (I) -and recorded the total per member per month charges for each (a total of 60 physicians) . In order to compare the mean charges for the three groups, the data were subjected to an analysis of variance. The results of the ANOVA are summarized in the following table. Take ? = 0.01  Source  df  SS  MS  F Value  Prob > F  Treatments 26032.433016.21520.73.0001 Error 578293.5145.5 Total 5914,325.93\begin{array} { l c c c c c } \text { Source } & \text { df } & \text { SS } & \text { MS } & \text { F Value } & \text { Prob } > \text { F } \\\hline \text { Treatments } & 2 & 6032.43 & 3016.215 & 20.73 & .0001 \\\text { Error } & 57 & 8293.5 & 145.5 & & \\\text { Total } & 59 & 14,325.93 & & &\end{array} Interpret the p-value of the ANOVA F-test.


Definitions:

Nuclear Families

A domestic arrangement where both parents and their kids cohabit as a singular family unit.

Extended Families

A network of relatives beyond the immediate family, including grandparents, aunts, uncles, and cousins, who often live together or maintain close emotional ties.

Single-parent Families

Households headed by only one parent, encompassing the responsibilities of raising children.

Foster Families

Temporary homes provided by individuals or families for children whose biological parents are unable to care for them.

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