A Certain HMO Is Attempting to Show the Benefits of Managed

Multiple Choice

A certain HMO is attempting to show the benefits of managed care to an insurance company. The HMObelieves that certain types of doctors are more cost-effective than others. One theory is that Certification Levelis an important factor in measuring the cost-effectiveness of physicians. To investigate this, the HMO obtainedindependent random samples of 19 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 19 physicians) . In order to compare the mean charges for the threegroups, the data will be subjected to an analysis of variance.Write the null hypothesis tested by the ANOVA.

A) $\mathrm { H } _ { 0 } : \mu _ { \mathrm { C } } = \mu _ { \mathrm { E } } = \mu _ { \mathrm { I } }$
B) $\mathrm { H } _ { 0 } : \beta _ { 1 } = \beta _ { 2 } = \beta _ { 3 } = 0$
C) $\mathrm { H } _ { 0 } : \mu _ { \mathrm { C } } = \mu _ { \mathrm { E } } = \mu _ { \mathrm { I } } = 0$
D) $\mathrm { H } _ { 0 } : \mathrm { p } _ { 1 } = \mathrm { p } _ { 2 } = \mathrm { p } _ { 3 }$