Question

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. there is not enough information to determine how the sample proportion would be affected. b. the sample proportion would less closely model the population proportion. c. the sample proportion would more closely model the population proportion. d. the sample proportion would not be affected.

Explanation:

In general, larger sample sizes tend to more closely approximate the population proportion. Reducing the sample size from 10% to 5% means a smaller sample. A smaller sample is more likely to have greater sampling error and thus less closely model the population proportion.

Answer:

B. The sample proportion would less closely model the population proportion.