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- Officials in fluxemburg are concerned about the current level of income inequality in their country, where the highest quintile of families currently earns 60% of the country's income. The central government has income information on its citizenry, and they want you to help them interpret the data from a 15-year period. The following table gives data on how families have moved between income quintiles between the years shown. ral in the missing values in the distribution table for familles in Fluxemburg; then use the information in the table to answer the following questions. Income Distribution in 2007 (Percent) Third Quintile Fourth Quintile Lowest Quintile Income Distribution in 1992 Highest Quintile Second Quintile Highest Quintile Second Quintile Third Quintile Fourth Quintile Lowest Quintile 65 12 13 51 18 8 12 -0* 52 Looking at families in the lowest quintile of income in 1992 (bottom row), you can report that higher quintile of income distribution by 2007. 6 10 16 57 11 5 14 66…(SW 7.10) Show that the two alternative formulas below for the homoscedasticity-only F-statistic are equivalent. F = (SSRrestricted − SSRunrestricted) /q SSRunrestricted/ (n − kunrestricted − 1) (equation 7.13 in SW) F = R2 unrestricted − R2 restricted /q (1 − R2 unrestricted) / (n − kunrestricted − 1) (equation 7.14 in SW)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 46 100
- Qn 1. According to the News Wire “Inequality,” what is the average per capita income innations where the highest-income decile gets (a) over 45 percent of totalincome? (b) less than 30 percent of total income?A Gini ratio of 0.99999 would indicate that income distribution is: Group of answer choices almost perfectly equal perfectly equal almost perfectly unequal highly variableA group of 10 people have the following annual incomes: $55,000, $30,000, $15,000, $20,000, $35,000, $80,000, $40,000, $45,000, $30,000, $50,000. Calculate the share of total income each quintile of this income distribution received. Do the top and bottom quintiles in this distribution have a greater or larger share of total income than the top and bottom quintiles of the U.S. income distribution for 2005?
- 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%A Lorenz curve is used to study income distributions (see graph). If x is the cumulative percentage of income recipients, ordered from poorest to richest, and Y is the cumulative percentage of income, then equality of income distribution is given by the line Y=X. Suppose the real distribution is given by the Lorenz curve defined by: 20 y =x? +x The Gini coefficient (G) measures the degree of deviation from equality Y=X for a specific Lorenz curve y is given by: G= A/(A+B). Determine G Areas produced by the Lorenz curve B Curve `Lorenz Population EntryGiven the income distributions (1; 2; 2; 5; 5; 5; 7; 11; 11; 12; 20; 21; 22; 24); (2; 3; 3; 4; 4; 5; 7; 7; 11; 11; 12; 20; 21; 24); And a poverty line of z = 6, calculate the Sen poverty measure. Explain the values obtained for the two distributions.
- Question 20 - A group of eight people have the following annual incomes: $10,000; $9,000: $15,700; $5,000; $6,500; $13,500; S12,000; and $8,300. Calculate the share of total income that people in the fourth quartile receive from this incorne distribution. Enter your answer in the box below rounding to one decimal place. AnswerIf the area between the diagonal line of absolute equality and the Lorenz curve is greater for China than for the United States, we can conclude that the Distribution of income in China is less equal than in the United States. Relative distributions of income in the two countries are the same. O Distribution of income in China is as equal as in the United States. O Distribution of income in China is closer to being equal than in the United States.H3. Empirical evidence has highlighted noticeable income convergence across difference regions in the US. It has been discussed in many classical studies, including Barro and Salai-Martin (1991). However, researchers also noticed some different pattern in reality. For example, there are two cities in central Arkansas. They are 40 miles apart from each other next to an inter-state highway. The two cities were similar in several aspects, for example infrastructure, demographics and industries until the 1980s. For example, both cities had about 5,000 total population and roughly $10,000 of average household income in the mid-1970s. After 40 years, one city still has about 5,000 people and with $28,000 average household income. The other city, however, has grown into a decent metro-area with about 30,000 residents and $50,000 average household income. 1) From the story above, can you find any evidence to support or invalidate the Solow growth model, which is the core of modern economic…