Respuesta :
Step 1: Let's first determine the total number of people that would prefer to move to another country.
[tex]\text{ 1,000,000 x }\frac{71}{100}\text{ = 1,000,000 x }0.71[/tex][tex]=\text{ }710,000[/tex]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,
[tex]\text{ 7 : 71 = x : }710,000\text{ }\rightarrow\text{ }\frac{7}{71}\text{ = }\frac{x}{710,000}[/tex][tex]\frac{7\text{ x 710,000}}{71}\text{ = }x[/tex][tex]\text{ 10,000 = x}[/tex]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,
[tex]\text{ 710,000 x }\frac{24}{71}\text{ = }\frac{24\text{ x 7}10,000}{71}=\text{ 24 x 10,000}[/tex][tex]\text{ = }240,000[/tex]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.
[tex]\text{ 240,000 - (10,000 + 10,000)}[/tex][tex]\text{ 240,000 - 20,000}[/tex][tex]\text{ = 220,000}[/tex]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