A 2003 study reported in the Journal of Consumer Affairs examined how well consumers protect themselves from identity theft. The study surveyed a random sample of 61 college students and 59 non-students, and asked each participant, "Have you used personal information (such as birth date, pet name, etc.) when creating a password?" For the students, 22 agreed with this statement, while 30 of the non-students agreed.
-What does it mean to have 95% confidence in the interval you created in question 40?
A) There is a 95% chance that the true difference in proportions is contained in the interval calculated in question 40.
B) In 95% of all possible random samples, the interval computed from the sample will contain the sample difference in proportions.
C) There is a 95% chance that the sample difference in proportions is contained in the interval calculated in question 40.
D) In 95% of all possible random samples, the interval computed from the sample will contain the true difference in proportions.

Question

Quizplus · Accepted Answer

A 95% confidence interval means that if we were to take many random samples and compute an interval from each sample, 95% of those intervals would contain the true difference in proportions.

A 2003 Study Reported in the Journal of Consumer Affairs