Problem

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.)

Answer

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Answer

\(\boxed{\text{Final Answer: A Type I error in this context would mean that we conclude that the proportion of students who earn a bachelor's degree within six years at the president's institution is higher than 0.389, when in reality it is not.}}\)

Steps

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 :\(\boxed{\text{Final Answer: A Type I error in this context would mean that we conclude that the proportion of students who earn a bachelor's degree within six years at the president's institution is higher than 0.389, when in reality it is not.}}\)

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