Sociology 674 – Elementary Demographic TechniquesTest 211/15/05Page 1Name __________________________Please answer all questions in a blue exam book. There are a total of 100 points on the exam. For me to provide any partial credit for incomplete answers, it is essential that you show your work. Please give answers to the fourth decimal point (e.g., 0.1234).1) Answer the following four questions about reproduction rates (20 points).a. Provide a brief interpretation of the Gross Reproduction Rate.b. Does a GRR of 1.0 correspond to replacement level fertility? Why or why not?c. Under what circumstances would the Gross Reproduction Rate be equal to the Net Reproduction Rate?d. Consider two countries with identical Net Reproduction Rates. The mean age of childbearing is 21.5 in Country X and 26.4 in Country Y. Which country’s population has a higher growth rate? Why?2) The following information is for men in the Philippines in 1980. Answer the three questions below. (20 points)Age groupNumber ofmarriagesPercent nevermarried15-19 36,000 9120-24 149,000 5425-29 103,000 2430-34 33,000 1235-39 12,000 840-45 6,900 645-49 3,800 550-54 5Total 343,700a. What is the mean age at marriage for Philippine men in 1980? b. What is the median age at marriage?c. What is the singulate mean age at marriage?Sociology 674 – Elementary Demographic TechniquesTest 211/15/05Page 23) Use this 1985 life table for women in Ireland to answer the five questions below. (20 points)1985 life table for women in Ireland x qxdxlxLxTxex0 0.0079 790 100,000 99,337 7,649,387 76.491-5 0.0017 167 99,210 396,440 7,550,050 76.105-10 0.0008 78 99,043 495,020 7,153,610 72.2310-15 0.0009 90 98,965 494,601 6,658,590 67.2815-20 0.0013 128 98,875 494,056 6,163,989 62.3420-25 0.0018 174 98,747 493,300 5,669,933 57.4225-30 0.0014 134 98,573 492,530 5,176,633 52.5230-35 0.0032 316 98,439 491,405 4,684,103 47.5835-40 0.0042 409 98,123 489,592 4,192,698 42.7340-45 0.0076 744 97,714 486,708 3,703,106 37.9045-50 0.0117 1,131 96,970 482,020 3,216,398 33.1750-55 0.0214 2,047 95,838 474,076 2,734,378 28.5355-60 0.0366 3,437 93,792 460,367 2,260,302 24.1060-65 0.0629 5,684 90,355 437,564 1,799,935 19.9265-70 0.0943 7,980 84,671 403,403 1,362,371 16.0970-75 0.1622 12,442 76,690 352,347 958,968 12.5075-80 0.2494 16,021 64,248 281,190 606,621 9.4480-85 0.4143 19,981 48,228 191,186 325,431 6.7585+ 1.0000 28,247 28,247 134,245 134,245 4.75a. What is life expectancy at birth?b. For a woman who survives until age 55, how many more years can she expect to live?c. What is the probability of dying between exact age 20 and exact age 50?d. What is the probability of surviving from exact age 60 to exact age 80?e. If these death rates (probabilities) were to continue indefinitely and if 100,000 baby girls were born in Ireland every year for the foreseeable future, what would the total female population of Ireland be in 100 years? f. In the scenario described in (e), how many women would there be between exact ages 20 and 25?Sociology 674 – Elementary Demographic TechniquesTest 211/15/05Page 34) Based on the following hypothetical data, answer the four questions below. (20 points)Country 1 Country 2Age# women atmid-year # birthsASFR (per 1,000)# women atmid-year # birthsASFR (per 1,000)15-19 2,000 100 50.00 3,200 128 40.0020-24 2,200 400 181.82 3,000 480 160.0025-29 2,500 350 140.00 3,000 345 115.0030-34 2,700 200 74.07 2,900 189 65.0035-39 3,000 100 33.33 2,700 68 25.0040-45 3,500 50 14.29 2,500 38 15.0045-49 3,700 25 6.76 2,300 12 5.00Total 19,600 1,225 19,600 1,260a. What is the General Fertility Rate for each country?b. Why is the GFR for country 2 greater than that of country 1?c. What is the Total Fertility Rate for each country?d. Which country has higher fertility?5. A mysterious disease affects some children born to an indigenous tribe living in a tropical rain forest. Among children born with this disease, 70% die in the first year of life. Among those whosurvive the first year of life 60% die before reaching age two. 50% of survivors to age 2 die before age 3 and 50% of survivors to age 3 die before age 4. No child born with this disease has ever reached his/her fifth birthday. Based on this information, answer the following questions: (20 points)a. What is the average life expectancy of a child born with this disease?b. How long can a child with this disease expect to live if he/she survives the first year of life?c. Assume that the population of this indigenous tribe is stationary. If 100 children are born with this disease every year, how many children are there in the population suffering from this disease in any given