Question

Common Misinterpretation: Suppose a 90% confidence interval is given as 22.5 < µ < 32.0 and aclassmate says this means that 90% of the data falls between the values 22.5 and 32.0. What is wrongwith this statement?

Answer 1

The statement made by the student is false.

A confidence interval, in statistics, implies the probability that a population parameter will fall between a set of values for a certain proportion of times.

It measures the degree of uncertainty or certainty in a sampling method.

The statement is wrong because the classmate mistook 22.5 and 32.0 to be mean values.