1. The Department of Health has collected data regarding a particular type of visual impairment in individuals over till years old. The data sugests that approximatelyf 15% of individuals in this age group suffer from this visual condition. A test has been developed to conrm the presence of this condition. When administered to individuals known to have the oondition, a correct test result was obtained in 32% of cases. When the test was administered to individuals who were known to not have the condition. 5'11. were reported to have the condition. {a} Draw a tree diagram to represent this seenario. Compute lhejoint probabilities for each branch. lb} Complete the following table to estimate the proportion of the population in each cell to 3 decimal places. Hint: time that the four proportions sum to l. {1:} Compute the sensitivity. specicity and predictive value oi the test. id} Suppose a sample of T2 people over the age of Ewas taken from the general population. Wimln the earn ole. how manv people would vou expect to return a positive test result? {3 marks] {3 marks] {6 marks] (3 marks]