The city of Raleigh has 11100 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 200
randomly selected registered voters was conducted. 115 said they’d vote for Brown, 66 said
they’d vote for Feliz, and 19 were undecided.
Give the sample statistic for the proportion of voters surveyed who said they’d vote for
Brown.
Note: Answer as a reduced fraction.
115
This sample statistic suggests that we might expect
voters to vote for Brown.

Question

UpStudy AI · Accepted Answer

**Step 1: Define the sample statistic**

The sample statistic for the proportion of voters who said they'd vote for Brown is given by the ratio

$$
\frac{\text{Number of voters who chose Brown}}{\text{Total number of voters surveyed}}
$$

**Step 2: Substitute the given values**

Given that 115 voters said they'd vote for Brown and the total number of voters surveyed is 200, we have

$$
\frac{115}{200}
$$

**Step 3: Reduce the fraction**

Divide both the numerator and the denominator by their greatest common divisor, which is 5:

$$
\frac{115 \div 5}{200 \div 5} = \frac{23}{40}
$$

**Step 4: State the final answer**

The sample statistic for the proportion of voters surveyed who said they'd vote for Brown is

$$
\frac{23}{40}.
$$
The sample statistic for the proportion of voters surveyed who said they'd vote for Brown is $$\frac{23}{40}$$.

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