The Article "Freedom of What?" (Associated Press, February 1, 2005)

Multiple Choice

The article "Freedom of What?" (Associated Press, February 1, 2005) described a study in which high school students and high school teachers were asked whether they agreed with the following statement: "Students should be allowed to report controversial issues in their student newspapers without the approval of school authorities." Researchers hypothesized that the long-run proportion of high school teachers who would agree with the statement would differ from the long-run proportion of high school students who would agree. Two random samples - 8,000 high school teachers and 10,000 high school students - were selected from high schools in the U.S. It was reported that 39% of the teachers surveyed and 58% of the students surveyed agreed with the statement.
-The study concluded that "in the U.S., a higher percentage of high school students believe controversial issues should be reported without approval of school authorities than high school teachers." Is this conclusion justified?

A) No, since we did not survey all high school students and high school teachers in the U.S.
B) Yes, because the sample sizes were large.
C) No, because the 2SD 95% confidence interval for the difference in long-run proportion who would agree with the statement between Students and Teachers (Students - Teachers) is entirely greater than zero.
D) Yes, because the 2SD 95% confidence interval for the difference in long-run proportion who would agree with the statement between Students and Teachers (Students - Teachers) is entirely greater than zero.