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MKTG127 DEMOGRAPHIC FUNDAMENTALS

   

Added on  2020-05-03

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Q1. Mortality and Standardizationa)Computation of age specific death rates (ASDR, per 1000 pop.) and crude death rates(CDR, per 1000 pop.) for Chinese population and for German population in 2015.For the Age specific death rates (ASDR) the formula is given as follows;ASDR=TotalDeaths∈SpecifiedAgeGroupTotalPopulation∈theSameSpecifiedAgeGroup∗1000For the first case of China we have;ASDR=196390158600000∗1000=1.238(3d.p)For the first case of Germany we have;ASDR=28306820000∗1000=0.415(3d.p)The same formula is repeated to obtain all the values. We used excel to generate theremaining values as given in the tablebelow;For the Crude death rates (CDR) the formula is given as follows;CDR=TotalResidentDeathsTotalPopulation∗1000For the first case of China we have;CDR=105538101367490000∗1000=7.718(3d.p)For the first case of Germany we have;
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CDR=94319080850000∗1000=11.666(3d.p)Age xChinaGermanyPopulationDeath (N)Age specific death ratesPopulationDeath (N)Age specific death rates0-9158,600,000 196,390 1.238 6,820,000 2,830 0.415 10-19161,490,000 47,100 0.292 7,610,000 1,120 0.147 20-29229,640,000 135,680 0.591 9,430,000 3,090 0.328 30-39193,590,000 187,890 0.971 9,650,000 5,660 0.587 40-49236,690,000 454,130 1.919 11,780,000 17,500 1.486 50-59174,900,000 897,920 5.134 12,990,000 57,600 4.434 60-69127,360,000 2,171,550 17.050 9,490,000 100,020 10.540 70-7960,350,000 3,010,070 49.877 8,370,000 220,070 26.293 80+24,870,000 3,453,080 138.845 4,710,000 535,300 113.652 Total1,367,490,00010,553,810 7.718 80,850,000 943,190 11.666 b)Computation of indirectly standardized death rates (I-SDR) for German population and forChinese population using the 2015 China population as the standard population.I−SDR=ObservednumberofdeathsExpectednumberofdeathsAge xChinaGermanyPop proportionIn case of 100000 personsObserved DeathsMortalityExpecteddeathsPopulationObserved DeathsMortalityExpecteddeaths0-911.60%11597.91963901.2382714.36135682000028300.4149564.81261510-1911.81%11809.2471000.291663.444267761000011200.1471751.73802
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20-2916.79%16792.81356800.590849.921828943000030900.3276785.50262830-3914.16%14156.61878900.9705613.73977965000056600.5865288.30324540-4917.31%17308.44541301.9186733.2090211780000175001.48556925.7127550-5912.79%12789.98979205.1339165.6619112990000576004.4341856.7125260-699.31%9313.41217155017.0505158.7982949000010002010.5395298.1588770-794.41%4413.19301007049.8769220.1164837000022007026.29271116.034980+1.82%1818.663453080138.845252.51234710000535300113.6518206.694Total100.00%10000010,553,8107.71765771.76518085000094319011.665921166.592Indirectly standardized death rates (I-SDR) for China populationI−SDR=ObservednumberofdeathsExpectednumberofdeaths=105.5381771.7651∗100=13.675Indirectly standardized death rates (I-SDR) for German populationI−SDR=ObservednumberofdeathsExpectednumberofdeaths=9.43191166.592∗1000=8.085c)New values of the indirectly standardized mortality rates (I-SDR) for German populationand for Chinese populationFor Germany populationSMR=ObservednumberofdeathsExpectednumberofdeaths=2.20For China populationSMR=ObservednumberofdeathsExpectednumberofdeaths=1Indirectly standardized death rates (I-SDR) for China populationI−SDR=ObservednumberofdeathsExpectednumberofdeaths=105.5381771.7651∗100=13.6751=13.675
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