Question

Alderwoman Natalia polled a random sample of residents in her district about new affordable housing projects in the district. The results of the poll are most representative of which of the following populations?

a) All residents in her district
b) Residents who attended town hall meetings
c) Residents who have lived in the district for over 10 years
d) Residents with incomes above the district average

Answer 1

The poll results reflecting a random sample of residents in Alderwoman Natalia's district are most representative of all residents in her district, due to the unbiased nature of random sampling.

Step-by-step explanation:

The results of the poll conducted by Alderwoman Natalia, where a random sample of residents in her district was surveyed about new affordable housing projects, are most representative of all residents in her district. This is because a properly conducted random sample aims to reflect the diverse opinions and demographics of the entire population it represents. Strategic random sampling techniques, such as picking every nth house, are designed to ensure that the sample is unbiased and accurately represents the larger group without over-representing any specific segments of the population, such as attendees of town hall meetings, long-term residents, or those with incomes above average.

Answer 2

The random sample polled by Alderwoman Natalia would most accurately represent all residents of her district, rather than any specific group, as random sampling aims to reflect the entire population's views.

Step-by-step explanation:

The results of the poll conducted by Alderwoman Natalia would be most representative of all residents in her district. If the sample of residents polled is random, it implies that every person in the population had the same chance of being selected. This method of sampling, known as random sampling, seeks to obtain a representative cross-section of the entire population, which should include individuals of varying ages, income levels, tenure in the district, and attendance at town hall meetings.

The random sample would not specifically represent subgroups such as residents who attended town hall meetings, residents who have lived in the district for over 10 years, or residents with incomes above the district average unless those characteristics randomly match the composition of the entire population. Therefore, it is most accurate to say that the poll results represent all residents in Alderwoman Natalia's district.