Question bank / Evaluating statistical claims: observational studies and experiments

Math · Problem-Solving and Data AnalysisEasy

To estimate the percent of adults in a town who have high-speed internet at home, a researcher emailed an online survey to 2,0002{,}000 adults selected at random from a list of town residents' email addresses. Of the 640640 adults who responded, 92%92\% reported having high-speed internet at home. Which of the following best describes the estimate of 92%92\%?

A

It is likely too high, because adults without home internet were less likely to receive and complete an online survey.

B

It is likely too low, because only 640640 of the 2,0002{,}000 adults responded.

C

It is likely accurate, because the adults were selected at random.

D

It is likely accurate, because more than 500500 adults responded.

Show answer and explanation

Answer: A

Adults with home internet are more likely to have email and to answer an online survey. Adults without home internet are underrepresented among the respondents, so 92%92\% probably overstates the percent for all adults in the town.

Choice C is tempting because random selection was used, but the adults were selected only from those with email addresses, and the online format favored internet users.

Why the other choices are wrong

  • B. A low response rate is a concern, but the adults most likely to be missing are those without internet, which pushes the estimate up, not down.
  • C. The adults were selected only from people with email addresses, and the online format favored internet users.
  • D. A large number of responses doesn't fix a biased method of collecting them.
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