Consider a 100-person economy, where half of the population receives 20% of the total income and the other half the remaining 80%. Using the Lorenz-curve approximation, what is the Gini coefficient in this economy (please use the comma to seprare decimals, such as: x,y)?
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Consider a 100-person economy, where half of the population receives 20% of the total income and the other half the remaining 80%. Using the Lorenz-curve approximation, what is the Gini coefficient in this economy (please use the comma to seprare decimals, such as: x,y)?
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- 2. Draw a complete and dearly labeled Lorenz Curve using the information below. Lowest 2nd 3rd 5th Quantile Quantile Quantile Quantile Quantile 3.6% 8.9% 14.8% 23% 49.8%100% Cumulative percentage of income 90% -Jарan 80% --- Portugal 70% 60% 50% 40% 30% 20% 10% 0% 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% Cumulative percentage of households Figure 5 Lorenz curves for Japan and Portugal Examine the Lorenz Curves for Japan and Portugal shown in Figure 5. Which of the following statements are correct? Select one or more answers. Select one or more: O The top quintile (top 20%) of households in Portugal have a higher share of total income than the top quintile (top 20%) of households in Japan. The bottom decile (bottom 10%) of households in Japan have a lower share of total income than the bottom decile (bottom 10%) of households in Portugal. Portugal will have a lower Gini coefficient than Japan. Japan has a lower level of income inequality than Portugal.Percent of Total Income (%) 69 Percent of Total Income (%) P Completed 19 out of 20 Submit All Question 1 of 20 > The table provides data on peprcentage of total income earned by quintile in two communities, Malaya and Carribea. Community Q1 Q2 Q3 Q4 Q5 Malaya 22% 38% Carribea 3% Using the data, manipulate the line segment in the graph to plot the Lorenz curve for Malaya. %0% 24% 48% 15% Malaya Q5 Carribea 00 0 96 92 Q2 Q3 Q4 Q5 96 92 88 84 84 72 08 89 72 89 64 09 52 52 Q3 44 32 24 Q2 32 28. 24 45-degree line 4. 45-degree line 8. 12 20. Activate Windows 12. Go to Settings to activate Windo 20. Percent of Population (%) 4. 40 09 08 00 0. 09 Percent of Population (%) 40. 08 LAPTOP LOGIN USERNAME: student CH PASSWORD: Broward1 F10 F11 F12 NumLk Scr Lk PrtSc Pause SysRq Break 8. 6
- (c) Draw the Lorenz curve.N Lorenz curve, shown as the sum of areas V+W+X+Y+Z % of Income C W V % of Population Use the sliders in the interactive tool to illustrate the following income distribution: % of Population 0 40 60 80 100 20 % of Income 4 12 26 46 1005- Calculate Gini coefficient for a country with the following deciles in income share data: Country X: 30 (richest quantile) 20 What is the area under the Lorenz Curve? Please show your diagram. 10 5 5 5 5 3 2
- What is the approximate Gini coefficient associated with the following income distribution? Household Percentile 0.23 0.08 0.68 0.48 0.13 20th 40th 60th 80th 100th Share of Income 0.05 0.10 0.20 0.25 0.40 Cumulative Share of Income 0.05 0.15 0.35 0.60 1.00The data in the table below shows the income of some random people in Massachusetts. If these were the only people in Massachusetts what is the average (absolute) difference in income among all the pairs? nаme Pre-tax income Mayor Wu $20 Tom Brady $120 Matt Damon $60 QUESTION 12 (continued) What is the Gini coefficient for Massachusetts?The table below presents the system in the country of Boonton. The numbers indicate the percentage of income in that bracket that is taxed. For example, someone making $13,000 would be taxed 23% of that amount. Income Earned Tax % applied to that Income Under $15,000 23 $15,001 - $30,000 24 $30,001 - $45,000 25 $45,001 - $60,000 27 If a household in Boonton currently makes $20000, how much do they owe in taxes?
- The table below presents the percentage of total income that goes to a certain fraction of the population of the country of Sanaton. For example, according to the table, the bottom 40% of the population owns 25% of the total income generated in Sanaton. What is the income share of the third quintile? Cumulative percentage of population 20 40 60 80 100 Cumulative percentage of income owned 15 25 40 60 100Canada had the following distribution of Income after taxes in 2006 Based on the information in the tables, which one is the correct Gini coefficient of income inequality? Deciles cumulative share of income Lorenz curve for after tax income in Canada 0% (2006) 1 0% 1 2 2%| 3 6% 0.8 4 11% 0.6 18% 0.4 26% 0.2 37% 50% 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 9 67% share of population 10 100% cumulative share of income equidistribution line O a. 0.47 O b. 0.43 O c. 0.42 O d. 0,44 O e. 0.23 O share of incomeThe table below shows information about the distribution of income in two countries. The rows are labeled "deciles" which are like percentiles but for groups of 10% instead of 1% of the population. The 1St decile is the poorest 10%, for example, while the 10th decile is the richest 10%. Coruscant Naboo cumulative income cumulative income decile income share share income share share 1st 2.29% 2.29% 3.12% 3.12% 2nd 3.93% 6.22% 4.50% 7.62% 3rd 5.30% 11.52% 5.69% 13.31% 4th 6.56% 18.08% 6.80% 20.11% 5th 7.81% 25.89% 7.91% 28.02% 6th 9.14% 35.04% 9.11% 37.13% 7th 10.69% 45.73% 10.52% 47.65% 8th 12.71% 58.44% 12.37% 60.02% 9th 15.94% 15.32% 10th 25.61% 24.66% mean income = 50,000 35,000 What is the cumulative income share for the bottom 9 deciles in Naboo?