to try to predict the outcome of the vote for...
to try to predict the outcome of the vote for the town budget, a town manager used random numbers to pick 150 registered voters. he then called these voters and asked how they planned to vote. is the sample taken in this problem representative of the population? choose the correct answer below. a. no, because it does not contain the same number of subjects as the population. b. yes, because it is a simple random sample. c. yes, because it contains the same number of subjects as the population. d. yes, because it is a systematic sample.
Answer
# Answer:
B. Yes, because it is a simple random sample.
# Explanation:
## Step1: Identify sampling method
The town manager used random numbers to pick voters, which is simple - random sampling.
## Step2: Understand representativeness
A simple - random sample, if properly conducted, is representative of the population as each member of the population has an equal chance of being selected. Here, the 150 registered voters were randomly chosen, so the sample is likely to be representative. Options A and C are wrong because a sample doesn't need to have the same number of subjects as the population. Option D is wrong as it's not a systematic sample (no fixed - interval selection was done).