Question

Based on a combination of worldwide surveys conducted from 2008 to 2010 and reported at gallup.com, for every 29 people who would be happy to stay in thecountry they live in, 71 would prefer to move to another country. Among those who would prefer to move, 24 of 71 say they would like to move to the UnitedStates, while 7 of 71 would choose Canada and 7 of 71 would choose the United Kingdom, the two next highest proportions. Based on these numbers, if arandom sample of 1 million people is selected from around the globe, how many more people in the sample would say that they would prefer to move to theUnited States than to Canada or the UK combined?

Answer 1

Step 1: Let's first determine the total number of people that would prefer to move to another country.

$\text{ 1,000,000 x }\frac{71}{100}\text{ = 1,000,000 x }0.71$$=\text{ }710,000$

Step 2: Let's use the date of the initial survey to determine the number of people that would choose to move to Canada.

Initial survey = 7 of 71 = 7:71

In the random sample of 1 million people,

$\text{ 7 : 71 = x : }710,000\text{ }\rightarrow\text{ }\frac{7}{71}\text{ = }\frac{x}{710,000}$$\frac{7\text{ x 710,000}}{71}\text{ = }x$$\text{ 10,000 = x}$

Therefore, in 1 million people, 10,000 would prefer to move to Canada.

Step 3: Let's use the date of the initial survey to determine the number of people that would choose to move to UK.

Initial survey = 7 of 71

Since they are of the same ratio as the number of people that would prefer to move to Canada, we can also that 10,000 would prefer to move to UK.

Step 4: Let's use the date of the initial survey to determine the number of people that would choose to move to the United States.

Initial Survey = 24 of 71 = 24 : 71

In the random sample of 1 million people,

$\text{ 710,000 x }\frac{24}{71}\text{ = }\frac{24\text{ x 7}10,000}{71}=\text{ 24 x 10,000}$$\text{ = }240,000$

Therefore, in 1 million people, 240,000 would prefer to move to the United States.

Step 5: Let's determine how many more people in the sample would say that they would prefer to move to the United States than to Canada or the UK combined.

$\text{ 240,000 - (10,000 + 10,000)}$$\text{ 240,000 - 20,000}$$\text{ = 220,000}$

Therefore, there are 220,000 more people in the sample would say that they would prefer to move to the United States than to Canada or the UK combined.

The answer is 220,000