The city of Raleigh has 7700 registered voters. There are two candidates for city council in an upcoming election Brown and Fellz. The day hefore the etection, a tetephone poff of 500 randomily selected registered voters was conducted, 225 said they’d vote for Brown, 229 said they divere for Feliz, and Af were undecided.

Give the sample statistic for the proportion of voters surveyed whe said they’d vote for Browni.

Note: Answer as a reduced fraction.

This sample statistic suggests that we might expect of the 7700 registered voters to vote for brown.

Quation fiel?
(Q) Video

Question

The city of Raleigh has 7700 registered voters. There are two candidates for city council in an upcoming election Brown and Fellz. The day hefore the etection, a tetephone poff of 500 randomily selected registered voters was conducted, 225 said they’d vote for Brown, 229 said they divere for Feliz, and Af were undecided.

Give the sample statistic for the proportion of voters surveyed whe said they’d vote for Browni.

Note: Answer as a reduced fraction.

This sample statistic suggests that we might expect

of the 7700 registered voters to vote for brown.

Quation fiel?
(Q) Video

UpStudy AI · Accepted Answer

1. Compute the sample proportion of voters who said they'd vote for Brown:
   $$
   \hat{p} = \frac{\text{number who chose Brown}}{\text{total surveyed}} = \frac{225}{500}
   $$

2. Simplify the fraction. Divide numerator and denominator by 25:
   $$
   \frac{225\div25}{500\div25} = \frac{9}{20}
   $$

3. The sample statistic for the proportion is:
   $$
   \frac{9}{20}
   $$

4. To find the expected number of voters who would vote for Brown among the 7700 registered voters, multiply the sample proportion by 7700:
   $$
   \text{Expected voters} = \frac{9}{20} \times 7700 = \frac{9 \times 7700}{20}
   $$

5. Calculate the multiplication:
   $$
   \frac{9 \times 7700}{20} = \frac{69300}{20} = 3465
   $$

Thus, the completed answers are:

$$
\frac{9}{20}
$$
$$
3465
$$
The sample proportion of voters who said they'd vote for Brown is $$ \frac{9}{20} $$. This suggests that we might expect 3465 of the 7700 registered voters to vote for Brown.

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