Question

the city of raleigh has 9700 registered voters. there are two candidates for city council in an upcoming election: brown and feliz. the day before the election, a telephone poll of 500 randomly selected registered voters was conducted. 280 said theyd vote for brown, 193 said theyd vote for feliz, and 27 were undecided.

describe the population actually represented by this survey.

all citizens of raleigh
all registered voters in raleigh
all registered voters with telephones in raleigh
the 500 voters surveyed
the 280 voters who said theyd vote for brown
none of the above

Explanation:

⚡ Using what you learned: Population vs. Sample

Step 1: Identify the Target Population vs. Actual Representation

The target population of interest is all \( 9700 \) registered voters in Raleigh. However, the survey was conducted specifically via a telephone poll of randomly selected registered voters.

Because the survey only contacts individuals who have a telephone, individuals without a telephone have a zero probability of being selected. Therefore, the group actually represented (the sampling frame) is limited to those registered voters who can be reached by phone.

Step 2: Evaluate the Options

• All citizens of Raleigh: Incorrect. The survey only sampled registered voters, not all citizens.
• All registered voters in Raleigh: Incorrect. This is the target population, but because it was a telephone poll, registered voters without telephones are excluded from representation.
• All registered voters with telephones in Raleigh: Correct. This represents the actual population from which the sample was drawn and who had a chance to be selected.
• The 500 voters surveyed: Incorrect. This is the sample, not the population represented by the survey.
• The 280 voters who said they'd vote for Brown: Incorrect. This is a subset of the sample.

Answer:

All registered voters with telephones in Raleigh