Question

Question 2

Hypertension (high blood pressure) is a common health problem amongst the Australian population. It is the greatest contributor to the burden of cardiovascular disease (CVD). According to Australian Heart Foundation data, 25% Australians of aged between 45-54 years suffer from hypertension. To investigate how Australians are affected by the incidence of hypertension, a researcher selected a random sample of 12 Australians of the above age group. Use this information to answer the following questions:

(a) Suggest an appropriate model to estimate the probabilities of the number of Australians of the above age group (45-54 years) who have a hypertension. What are the parameters of this model?

(b) Explain why this model is appropriate by discussing the important distinguishing features of the model, focusing on the underlying conditions for the validity of the model. 

(c) Using the model from part (a), estimate the probability that, in the randomly selected sample of 12 Australians of the above age group, at most 3 will have hypertension.

(d) A random sample of 120 Australians of the above age group have been selected to have their hypertension checked. For this sample of 120, estimate the mean and standard deviation of the number of Australians with hypertension.

(e) Determine the probability that, in the random sample of 120 Australians of the age group (selected in part (c)), 20 or more will have hypertension.

(f) State and check any assumptions, conditions or rules of thumb that should be considered for the validity of the result obtain in part (e).

Answer 1

The solution to this problem would be..