For students who first.enrolled in two-year public institutions in a recent semester, the proportion who earned a bachelor's degree within six years was 0.389 . The president of a certain junior college believes that the proportion of students who enroll in her institution have a higher completion rate. (c) What would it mean to make a Type I error? The president the hypothesis that the proportion of students who earn a bachelor's degree within six years is (Type integers or decimals. Do not round.)
Solution
Step 1 ：The problem is about a hypothesis test where the president of a junior college believes that the proportion of students who earn a bachelor's degree within six years at her institution is higher than 0.389.
Step 2 ：A Type I error, also known as a false positive, occurs when we reject a true null hypothesis.
Step 3 ：In this context, a Type I error would mean that we conclude that the proportion of students who earn a bachelor's degree within six years at the president's institution is higher than 0.389, when in reality it is not.
Step 4 ：\(\boxed{\text{Final Answer: A Type I error in this context would mean that we conclude that the proportion of students who earn a bachelor's degree within six years at the president's institution is higher than 0.389, when in reality it is not.}}\)
