use the situation below to answer questions. ...
use the situation below to answer questions. shae is interested in finding out how many of the registered voters in her town will vote to elect her uncle as the new mayor. she knows there are 2,000 registered voters in her town, but does not want to poll all 2,000 voters. 5. which group of people represents the population of this situation? a the group of 2,000 registered voters. b every person who lives in the town. c every person who chooses to vote for shae’s uncle. d the portion of voters that shae ultimately surveys. 6. which group of people represents the sample of this situation? a the group of 2,000 registered voters. b every person who lives in the town. c every person who chooses to vote for shae’s uncle. d the portion of voters that shae ultimately surveys. 7. which sampling method would be best and produce a representative sample for shae’s data? a polling every other person who shops at the local clothing boutique on a monday. b calling every 10th person on the registered voter list and asking who they intend to vote for. c calling all of her uncle’s friends and asking them who they intend to vote for. d polling every 5th person at the senior citizen center. 8. after surveying a representative sample, shae’s data reports that 4 out of every 7 voters intend to vote for shae’s uncle. about how many voters can shae predict will actually vote for her uncle if all 2,000 registered voters decide to vote in the mayoral election? a about 1,224 voters b about 1,500 voters c about 1,143 voters d about 1,017 voters
Answer
# Answer:
5. A. The group of 2,000 registered voters represents the population of people in the town who are eligible to vote.
6. D. The portion of voters that Shae ultimately surveys represents the sample of this situation.
7. B. Polling every other person who shops at the local clothing boutique on a Monday is a non - representative sampling method as it only targets a specific subset of people (shoppers at a clothing boutique on a particular day) and may not be reflective of all voters.
8. C. Calling every 10th person on the registered voter list and asking who they intend to vote for is a systematic sampling method and is likely to be more representative compared to some of the other non - random methods described. To predict the number of voters who will actually vote for Shae's uncle, if 4 out of every 7 voters intend to vote for him out of 2000 registered voters:
First, find the number of voters who intend to vote for him. The proportion of voters who intend to vote for him is $\frac{4}{7}$. So the number of voters who intend to vote for him is $\frac{4}{7}\times2000=\frac{8000}{7}\approx1143$.
# Explanation:
## Step1: Identify population
The 2000 registered voters are the whole group we are interested in, so they are the population.
## Step2: Identify sample
The group Shae surveys is a subset of the population, so it's the sample.
## Step3: Analyze sampling method in Q7
The clothing - boutique method targets a non - representative subset.
## Step4: Analyze sampling method in Q8
The 10th - person call is a systematic approach.
## Step5: Predict number of voters
Use the given proportion $\frac{4}{7}$ to find the number of voters likely to vote for Shae's uncle out of 2000 registered voters.