A poll of 488 citizens of Normal, Illinois showed that 65% favored strict enforcement of speed limits with a margin of error of 4%. A second poll of 495 citizens of the same town showed that 34% favored strict enforcement of speed limits. Assuming that proper sampling techniques were used in both polls, one may conclude that

A) the percent of the population that favors strict enforcement of speed limits is $ 49.5 \% \pm $ $ 8 \% $.

B) the percent of the population that favors strict enforcement of speed limits is $ 49.5 \% \pm $ $ 4 \% $

C) one or both of the samples may have been unlikely samples from the population.

D) there are definitely errors in one of the polls.

Question

A poll of 488 citizens of Normal, Illinois showed that 65% favored strict enforcement of speed limits with a margin of error of 4%. A second poll of 495 citizens of the same town showed that 34% favored strict enforcement of speed limits. Assuming that proper sampling techniques were used in both polls, one may conclude that

A) the percent of the population that favors strict enforcement of speed limits is $ 49.5 \% \pm $ $ 8 \% $.

B) the percent of the population that favors strict enforcement of speed limits is $ 49.5 \% \pm $ $ 4 \% $

C) one or both of the samples may have been unlikely samples from the population.

D) there are definitely errors in one of the polls.

Quizplus · Accepted Answer

The significant difference in results between the two polls suggests that one or both samples may not accurately represent the population, possibly due to sampling variability or other factors.

A Poll of 488 Citizens of Normal, Illinois Showed That 49.5%± 49.5 \% \pm 49.5%±

A Poll of 488 Citizens of Normal, Illinois Showed That $49.5 \% \pm$