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In 2003 the world wealth report first started publishing market shares of global

ID: 3054850 • Letter: I

Question

In 2003 the world wealth report first started publishing market shares of global millionaires. At that time, the distribution of the world's people worth $1 million or more was as follows:

Region Percentage of Millionaires

Europe 35.7

North America 31.4

Asia Pacific 22.9

Latin America 4.3

Middle east 4.3

Africa 1.4

A 2011 sample of n=500 gloabal millionaires produces the following resuts:

Region Number of Millionaires

Europe 153

North America 163

Asia Pacific 139

Latin America 20

Middle east 20

Africa 5

a) Are the conditions for using a chi-square test satisfied in this scenario?

Explanation / Answer

her from above as epected frequency =probability *total number of millionaires

as expected frequency for all categories are at least 5 ; therefore   conditions for using a chi-square test are satisfied.

observed Expected category Probability(p) Oi Ei=total*p Europe 0.357 153.000 178.50 North America 0.314 163.000 157.00 Asia Pacific 0.229 139.000 114.50 Latin America 0.043 20.000 21.50 Middle east 0.043 20.000 21.50 Africa 0.014 5.000 7.00 total 1 500 500
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