select the correct answer. members of a stude...
select the correct answer. members of a student council are designing a school float for a parade. they decide to poll 10% of the student body to get feedback about the theme they have chosen. what would most likely happen if they decided to randomly sample 5% of the student body instead? a. the sample proportion would not be affected. b. the sample proportion would less closely model the population proportion. c. there is not enough information to determine how the sample proportion would be affected. d. the sample proportion would more closely model the population proportion.
Answer
# Answer:
B. The sample proportion would less closely model the population proportion.
# Explanation:
## Step1: Understand sampling principle
Larger samples are better.
## Step2: Analyze sample - size change
Reducing from 10% to 5% makes sample smaller.
## Step3: Determine impact on proportion
Smaller sample means less accurate model of population proportion.