Results from a Gallup survey conducted in 2013 and 2014 reveal that 30% of kindergarten through grade 12 school teachers
report feeling engaged in their work. The report from this random sample of 6711 teachers stated that, with 95%
confidence, the margin of sampling error was ±1.0%. Which of the following statements would explain to someone who
knows no statistics what the phrase "95% confidence" means in this report?
A. If we were to repeatedly take samples of the same size, approximately 95% of the confidence intervals constructed from
these samples would capture the true sample proportion of K-12 teachers who feel engaged in their work.
B. If we were to repeatedly take samples of the same size, approximately 5% of the confidence intervals constructed from
these samples would capture the true population proportion of K-12 teachers who feel engaged in their work.
C. If we were to repeatedly take samples of the same size, approximately 95% of the confidence intervals constructed from
these samples would capture the true population proportion of K-12 teachers who feel engaged in their work.
D. If we were to repeatedly take samples of the same size, approximately 5% of the confidence intervals constructed from
these samples would capture the true sample proportion of K-12 teachers who feel engaged in their work.
