Math  /  Data & Statistics

QuestionThe city of Raleigh has 10,500 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 350 randomly selected registered voters was conducted. 130 said they'd vote for Brown, 199 said they'd vote for Feliz, and 21 were undecided.
Use this information from the sample to complete the following statements about the population of all registered voters in Raleigh. Round your answers to the nearest person.
Based on this sample, we could expect 3,900 0839000^{8} 3900 of the 10,500 registered voters to vote for Brown.
Based on this sample, we could expect \square of the 10,500 registered voters to vote for Feliz. Based on this sample, \square of the 10,500 registered voters are still undecided.
Question Help: Video Message instructor Submit Question

Studdy Solution

STEP 1

What is this asking? We need to estimate how many voters will vote for each candidate and how many are undecided in the whole city, based on a small survey. Watch out! Don't forget to round to the nearest person, since we can't have fractions of voters!

STEP 2

1. Calculate Brown's Expected Votes
2. Calculate Feliz's Expected Votes
3. Calculate Expected Undecided Voters

STEP 3

Out of the **350** people surveyed, **130** said they would vote for Brown.
So the proportion is 130350 \frac{130}{350} .
This tells us what fraction of the surveyed voters support Brown.

STEP 4

We can apply this same proportion to the total number of registered voters, which is **10,500**.
To do this, we multiply the proportion by the total number of voters: 13035010,500 \frac{130}{350} \cdot 10,500 .

STEP 5

Let's calculate! 13035010,500=1365000350=3900 \frac{130}{350} \cdot 10,500 = \frac{1365000}{350} = 3900 .
So, we expect **3900** people to vote for Brown.

STEP 6

**199** out of **350** surveyed voters said they'd vote for Feliz.
The proportion is 199350 \frac{199}{350} .

STEP 7

We multiply this proportion by the total number of registered voters: 19935010,500 \frac{199}{350} \cdot 10,500 .

STEP 8

Crunching the numbers: 19935010,500=2089500350=5970 \frac{199}{350} \cdot 10,500 = \frac{2089500}{350} = 5970 .
We can expect **5970** votes for Feliz!

STEP 9

**21** out of the **350** surveyed voters were undecided.
This gives us a proportion of 21350 \frac{21}{350} .

STEP 10

Multiply the proportion by the total registered voters: 2135010,500 \frac{21}{350} \cdot 10,500 .

STEP 11

Calculating: 2135010,500=220500350=630 \frac{21}{350} \cdot 10,500 = \frac{220500}{350} = 630 .
We expect **630** undecided voters.

STEP 12

Based on this sample, we could expect **3900** of the 10,500 registered voters to vote for Brown. Based on this sample, we could expect **5970** of the 10,500 registered voters to vote for Feliz. Based on this sample, **630** of the 10,500 registered voters are still undecided.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord