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Suppose that, in a suburb of 12, 512 people, 6, 556 people moved there within th

ID: 3181321 • Letter: S

Question

Suppose that, in a suburb of 12, 512 people, 6, 556 people moved there within the last five years. You survey 500 people and find that 238 of the people in your sample moved to the suburb in the last five years. a. What is the population proportion of people who moved to the suburb in the last five years? The population proportion is .(Round to the nearest thousandth as needed.) b. What is the sample proportion of people who moved to the suburb in the last five years? The sample proportion is .(Round to the nearest thousandth as needed) c. Does your sample appear to be representative of the population? Yes No

Explanation / Answer

a. Here for population it is given that out of 12512, 6556 moved there within last five years

So population proportion is 6556/12512=0.52

b. Now next you took a sample of 500 out of which 238 moved there within last five years

So sample proortion is 238/500=0.48

c. Yes it is because 500 are sampled from 12512 and not from 6556.

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