5
AssignmentMultiple Choice

Considerations When Sampling

Question 5 • OK-Algebra II - Sem B -CA- 35031B

A school theater director is planning a voluntary trip to New York City for students. He sends a poll regarding interest in the trip via text message to all parent phone numbers on record. The poll showed that 68% of parents were interested in the trip. Which statement best describes the results of this poll?

Answer
A
Sixty-eight percent is likely a good estimate for the percentage of parents interested in the trip.
B
Sixty-eight percent is likely an overestimate for the percentage of parents interested in the trip.
C
Sixty-eight percent is likely an underestimate for the percentage of parents interested in the trip.
D
There is not enough information to assess the results of the study.

Explanation

Because parents choose whether to respond to the text poll, it is a voluntary-response survey. Parents who are interested in the trip may be more motivated to reply than parents who are not, so the 68% who responded is likely higher than the percentage of all parents who are interested. Thus, 68% is likely an overestimate.

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