1. Find a news clipping about recent survey in Hong Kong, paste the link and cap screen in the space below. (3) Dene the element, measure, population, and sample. (b) Discuss the sampling unit(s), sampling frame(s), and one possible survey error. (e) Discuss the parameter of interest, estimator, and error of estimation. ((1) Describe how you would draw the sample. (e) What is/are the advantages of using closed questions in comparison to open questions? 2. Two simple random sample surveys of approximately 50 Americans conducted in 2019 and 2020, respectively, were directed toward determining if the consumption of alcoholic beverages was declining. Suppose there are 10,000 Americans living in the community. One of the questions and the resulting percentages are shown in the table below. Question: During the past year has your consumption of alcoholic beverages increased, decreased, or Stayed about the same? Dec 2019 Dec 2020 Increased 15% 7% Decreased 29% 41% Stayed the same 5 1% 51% No opinion 5% 1% Total 100% 100% (a) Estimate the true difference between the proportions choosing decreased drinking over the past year among the two surveys. Place a bound on the error of estimation. (b) Estimate the difference between the proportion who have decreased drinking over the past year in 2020 and the proportional who have stayed the same in 2020. Place a bound on the error of estimation. (0) From the information above, is there enough evidence to show that there is signicant different in the proportion who have decreased drinking over the past year? Explain your answer. 3. Government wants to nd out who is infected by a recent virus, a commissioner request resident to do compulsory testing and they have randomly interviewed individuals living in district A, B, and C. The simple random samples are selected, and the interviews conducted. The result, with measurement of waiting time for compulsory test in hours, and the summa_ry of the data are shown in the table below. N n Infected Case Mean Standard Deviation District A 1000 30 6 5.90 1.95 District B 2000 60 3 7.12 2.25 District C 1500 40 12 3 .00 0.36 (a) Estimate the overall average waiting time for compulsory test, in hours, for residents in three districts. (b) Estimate the total waiting time for compulsory test, in hours, for residents in district B. (c) A prior study shows the strata standard deviation are 01 = 2 , 0'2 2 2.5 , and 0'3 2 0.5 . The commissioner nds that the cost of obtaining a response from a district A is double of obtaining a response in district B or C. The cost per observation in districtA is estimated to be $10. Find the overall sample size n and the stratum sample sizes, n1, 712, and 113, that allow the commissioner to estimate, at minimum cost, the average waiting time for compulsory test, in hours, with a bound on the error of estimation equal to 30 minutes. ((1) Suppose the commissioner plans to do another compulsory test for checking. Let the cost of obtaining an observation from the three districts are listed in (c), using the proportion of infected case in the table above, estimate the population proportion p with only $500 to spend on sampling, choose the sample size n and the strata sample sizes, n1, 112, and 113, that will give the desired bound at minimum variance