Question

identify the type i error.
a state university annual report showed that its retention rate was at 24% and university administrators would like to increase this rate. after implementing several new programs during the last two years, the university reevaluated its retention rate.
identify a type i error in the context of this hypothesis test.
the university does not conclude that retention is on the rise since the retention rate can only decrease.
the university does not conclude that retention rate is increasing, but in fact the retention rate has increased from 24%.
the university concludes that retention is on the rise since the retention rate can only increase.
the university concludes that retention rate is increasing, but in fact it has not.

Explanation:

A Type I error occurs when we reject a null hypothesis that is actually true. In hypothesis testing, the university administrators likely had a null hypothesis (e.g., retention rate is not increasing). If they concluded the retention rate is increasing (rejected the null) when in reality it has not (null is true), this is a Type I error.

Answer:

The university concludes that retention is increasing, but in fact it has not.