1. (4 marks) Suppose we are interested in investigating the prevalence of diabetes in the Canadian retirement-age population. Suppose we collect a simple random sample of 145 Canadians of retirement age (65+), and ask each whether or not they have diabetes. We find that the sample proportion of individuals who have diabetes in our sample is 0.20. a. Who are the individuals in this study? What is the variable in this study? b. Suppose, only for the purpose of part (b) of this question, that the true proportion of Canadians of retirement age who have diabetes is actually 0.25. C. i. If we were to take many SRSS of size 145, what would be the approximate sampling distribution of the resulting sample proportions? Show your work. ii. Based on this sampling distribution, what is the probability of observing a sample proportion as small as what we observed (0.20)? Show your work. As mentioned above, the sample proportion of individuals who have diabetes in our sample is 0.20. Using this value, construct a 95% confidence interval for the true proportion, p. Show your work.