The principal of a school is interested in estimating the average income per family of her students. She selects a random sample of students and collects information about their family income. A 95 percent confidence interval computed from this data for the mean income per family is ($35,095, $45,005). Which of the following provides the best interpretation of this confidence interval?
(A)95 percent of the students in her school are from families whose income is between $35,095 and $45,005. (B)There is a 95% probability that the families of all the students in this school have an income of between $35,095 and $45,005. (C)If we were to take another sample of the same size and compute a 95 percent confidence interval, we would have a 95% chance of getting the interval ($35,095, $45,005). (D)There is a 95% probability that the mean income per family in the school is between $35,095 and $45,005.
D