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f this assignment, interest is to be able to determine whether man has normal

whether he is taking antihypertensive medication solely on the basis of his diastobc blood

reading. This seemingly unimportant exercise is valuable in that it provides us with a foundation tv

hypothesis testing.

One thing we can see from Figure 1 above is that there is large amount of overlap between the two

normal curves and as such, it will be difficult to distinguish between them.

(a) Assume further that our first goal is to identify of the individuals who are currently

taking medication, what value of diastolic blood pressure should be designated as the lower

Cut off point? In other words, you must identify the value of diastolic blood pressure that

marks off the lower of this distribution (hint: value marked x•? in figure 1). (IS marks)

(b) For whatever value you find in (a), describe what the proportion below and above this cut

Off point represents. (15 marks)

(c) Using the same cut-off point found in (a), what proportion of the men with normal blood

pressures will be incorrectly labelled as antihypertensive drug users? (IS marks)

(d) What would we call the error arising from your answer in part 110 marks)

(e) By most people's description, the error found in part (d) would be described as big.

Therefore, in an effort to reduce this error, supposing you as the biostatistician analysin€

this data suggests to the investigators that we need the cut-off point for identifying

individuals who are currently using antihypertensive drugs to be raised to 90 mm Hg. usir€

this new cut off point for the population with normal blood pressures, what proporton of

men with normal blood pressures will be incorrectly labelled as antihypertensive drug users?

(25 marks)

(f) There is a penalty to pay in raising the cut-off point as suggested in part (e), estimate the

 

proportion of men correctly labeled as using antihypertensive medication using the cut-off 

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