SOLUTION: Read the passage below, and then consider the following scenario. A physician is trying to decide whether to prescribe medication for cholesterol reduction in a 45-year-old female

Question 986647: Read the passage below, and then consider the following scenario. A physician is trying to decide whether to prescribe medication for cholesterol reduction in a 45-year-old female patient. The null hypothesis is that the patient�s cholesterol is less than the threshold of treatable hypercholesterolemia. However, a sample of readings over a 2-year time period shows considerable variation, usually below but sometimes above the threshold.
Define Type I and Type II error.
List the costs of each type of error (in general terms). Who bears the cost of each?
How might the patient�s point of view differ from the HMO�s or doctor�s?
In what sense is this a business problem? A societal problem? An individual problem?

"Hypercholesterolemia is a known risk factor for coronary artery disease. The risk of death from coronary artery disease has a continuous and graded relation to total serum cholesterol levels higher than 180 mg/dl. However, the ratio of total cholesterol to HDL cholesterol is a better predictor of coronary artery disease than the level of either fraction alone. �After menopause, plasma LDL cholesterol concentrations rise to equal, and then to exceed, those of men, at the same time HDL cholesterol concentrations fall slightly. �This puts women at equal or greater risk for cardiovascular disease. According to the results of medical trials, there is compelling evidence that a reduction in the level of cholesterol leads to a significant decrease in the rate of cardiovascular events. �Therefore, screening for high blood cholesterol is an important clinical intervention. The National Heart, Lung, and Blood Institute�recommends that all persons aged 20 and above have a cholesterol determination at least once every five years. �Timely identification of high-risk individuals allows consideration of various treatment alternatives. For patients who do not have coronary heart disease or peripheral vascular disease, emphasis should be placed on non-pharmacologic approaches, mainly changes in diet and exercise. Drug therapy should be reserved for those at highest risk of coronary heart disease: men above 35 years of age and postmenopausal women."
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Type I error: Incorrectly rejecting a null hypothesis that is indeed true.

Type II error: Failing to reject a null hypothesis that is indeed false.

John

My calculator said it, I believe it, that settles it

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