A recent poll reported that 62% of all college students believe there is extraterrestrial life. The 95% margin of error for the poll was 4%. Which of the following statements is correct?
A) We can be certain that the percentage of all college students who believe there is extraterrestrial life is in the interval 58% to 66%.
B) The chance is 95% that at least 62% of all college students believe there is extraterrestrial life.
C) With 95% confidence we can say that the percentage of all college students who believe there is extraterrestrial life is between 58% and 66%.
D) The chance is 5% that at least 62% of all college students believe there is extraterrestrial life.

Question

Quizplus · Accepted Answer

The correct statement is C because a margin of error in polling indicates the range within which the true value is expected to lie with a certain level of confidence. In this case, with a 95% confidence level, the true percentage of all college students who believe in extraterrestrial life is estimated to be between 58% (62% - 4%) and 66% (62% + 4%).

A Recent Poll Reported That 62% of All College Students