Gini coefficient is a statistic used to measure income inequality within nations. It ranges from 0 to 100, with higher scores indicating more inequality. At the extremes, a Gini score of 0would mean that everyone in the country earns the exact same income, and a Gini score of 100 would mean that only one person in the country earns all the income. Some people argue that the larger a nation is, the more difficult it is to maintain a fair distribution of incomes. In other words, does income inequality increase as population size increases? You can test this question by conducting a bivariate regression on the data in the table below. Throughout calculating, and for the final answer, round to two decimals. Must show work on PDF for completing this computational table and for the following 9 questions Country (1) X: Population (in millions) (2) Y: Gini Score (3) (4) (5) (6) (7) Sweden 8 27 Ethiopia 77 29 Switzerland 14 43 Laos 6 45 UK 58 35 Russia 144 44 US 291 40 Mexico 111 46 Brazil 190 56 Conduct a significance test on Pearson’s r at an alpha of .05 to answer the question: Are population size and income inequality (the Gini coefficient) significantly related? step1 step 2 State each hypothesis first using symbols and then in a complete sentence for each. step3 Using an alpha of .05, what is the sampling distribution that you will be using and the critical score? step 4 step 5

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 22EQ

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Gini coefficient is a statistic used to measure income inequality within nations. It ranges from 0 to 100, with higher scores indicating more inequality. At the extremes, a Gini score of 0would mean that everyone in the country earns the exact same income, and a Gini score of 100 would mean that only one person in the country earns all the income.

Some people argue that the larger a nation is, the more difficult it is to maintain a fair distribution of incomes. In other words, does income inequality increase as population size increases? You can test this question by conducting a bivariate regression on the data in the table below.

Throughout calculating, and for the final answer, round to two decimals.

***Must show work on PDF for completing this computational table and for the following 9 questions***

Country	(1) X: Population (in millions)	(2) Y: Gini Score	(3)	(4)	(5)	(6)	(7)
Sweden	8	27
Ethiopia	77	29
Switzerland	14	43
Laos	6	45
UK	58	35
Russia	144	44
US	291	40
Mexico	111	46
Brazil	190	56

Conduct a significance test on Pearson’s r at an alpha of .05 to answer the question: Are population size and income inequality (the Gini coefficient) significantly related?

step1

step 2 State each hypothesis first using symbols and then in a complete sentence for each.

step3 Using an alpha of .05, what is the sampling distribution that you will be using and the critical score?

step 4

step 5

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