Question bank / Evaluating statistical claims: observational studies and experiments

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A news website invited its readers to vote in an online poll about a proposed city tax. Of the 5,0005{,}000 readers who voted, 78%78\% opposed the tax. Which of the following is the best reason the poll results should not be used to estimate the percentage of all city residents who oppose the tax?

A

A sample of 5,0005{,}000 is too large to be accurate.

B

The respondents chose to participate, so they may not represent all city residents.

C

The poll did not use random assignment to treatment groups.

D

The percentage, 78%78\%, is too high to be believable.

Show answer and explanation

Answer: B

The respondents selected themselves, and only readers of the website could vote. People with strong opinions are more likely to respond to voluntary polls, so the sample is likely biased. A large sample does not fix a biased selection method.

Choice C names a requirement for experiments; this is a survey, where the issue is random selection, not random assignment.

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