A recent Gallup Poll interviewed a random sample of 1523 adults. Of these, 868 bought a lottery ticket in the past year.
The same Gallup Poll asked its 1523 adult respondents and also 501 teens (ages 13 to 17) whether they generally approved of legal gambling: 63% of adults and 52% of teens said yes. The margin of error for a 95% confidence statement about teens would be
A) greater than for adults, because the teen sample is smaller.
B) less than for adults, because the teen sample is smaller.
C) less than for adults, because there are fewer teens in the population.
D) the same as for adults, because they both come from the same sample survey.
E) Can't say, because it depends on what percent of each population was in the sample.

Question

Quizplus · Accepted Answer

A) The margin of error for a confidence interval depends on the sample size, among other factors. A smaller sample size, like the one for teens (501) compared to adults (1523), generally leads to a larger margin of error because it is less representative of the entire population.

A Recent Gallup Poll Interviewed a Random Sample of 1523