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Solve the problem. A certain HMO is attempting to show the benets of managed health care to an insurance company. The HMO believes that certain types of doctors are more cost-effective than others. One theory is that both primary specialty and whether the physician is a foreign or USA medical school graduate are an important factors in measuring the cost-effectiveness of physicians. To investigate this, the president obtained independent random samples of 40 HMO physicians, half foreign graduates and half USA graduates, from each of four primary specialtiesGeneral Practice (GP), Internal Medicine (IM), Pediatrics (PED), and Family Physician (FP)and recorded the total per- member, per-month charges for each. Thus, information on charges were obtained for a total of n = 160 doctors. The ANOVA results are summarized in the following table. mun-n- Specialty _22855 7618 60.94 .0001 Assuming no interaction, is there evidence of a difference between the mean charges of physicians belonging to different primary specialty? Use a = 0.05. O No, the test for the main effect for specialty is not signicant at a = 0.05. O No, because the test for the interaction is not signicant at 0 = 0.05, the test for the main effects for specialty is not valid. 0 It is impossible to make conclusions about the main effect of specialty based on the given information 0 Yes, the test for the main effect for specialty is signicant at a = 0.05