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n 2003, The World Wealth Report first started publishing market shares of global millionaires. At this time, the distribution of the world's people worth $1 million or more was 35.7% in Europe, 31.4% in North America, 22.9% in Asia Pacific, 4.3% in Latin America, 4.3% in Middle East and 1.4% in Africa. A recent survey of 500 global millionaires produces the following results. Region Number of millionaires Europe 153 North America 163 Asia Pacific 139 Latin America 20 Middle East 20 Africa 5 Based on this information, a researcher would like to determine if the recent distribution of millionaires is different from the distribution in 2003 at a 5% level of significance. What is the expected frequency for North America?

Question

n 2003, The World Wealth Report first started publishing market shares of global millionaires. At this time, the distribution of the world's people worth $1 million or more was 35.7% in Europe, 31.4% in North America, 22.9% in Asia Pacific, 4.3% in Latin America, 4.3% in Middle East and 1.4% in Africa. A recent survey of 500 global millionaires produces the following results. Region Number of millionaires Europe 153 North America 163 Asia Pacific 139 Latin America 20 Middle East 20 Africa 5 Based on this information, a researcher would like to determine if the recent distribution of millionaires is different from the distribution in 2003 at a 5% level of significance. What is the expected frequency for North America?

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Solution

To find the expected frequency for North America, we need to use the proportion of millionaires in North America from 2003 and apply it to the recent survey of 500 global millionaires.

The proportion of millionaires in North America in 2003 was 31.4%.

To find the expected frequency, we multiply the total number of millionaires in the recent survey by the 2003 proportion:

500 (total number of millionaires in recent survey) * 0.314 (proportion of millionaires in North America in 2003) = 157

So, the expected frequency for North America is 157.

This problem has been solved

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