Question

the city of raleigh has 8100 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. 210 said theyd vote for brown, 281 said theyd vote for feliz, and 9 were undecided.

give the sample statistic for the proportion of voters surveyed who said theyd vote for brown. note: the proportion should be a fraction or decimal, not a percent.

this sample statistic suggests that we might expect of the 8100 registered voters to vote for brown.

Explanation:

⚡ Using what you learned: Population vs. Sample

Step 1: Calculate the sample proportion

The sample size \( n \) is \( 500 \). The number of surveyed voters who said they would vote for Brown is \( 210 \).

$$ \hat{p} = \frac{210}{500} = 0.42 $$

Step 2: Estimate the expected number of voters in the population

Multiply the sample proportion by the total population size of \( 8100 \) registered voters.

$$ 0.42 \times 8100 = 3402 $$

Answer:

First box: 0.42 (or **21/50)
Second box: 3402