A university wants to increase its retention rate of 4% for graduating students from the previous year.After implementing several new programs during the last two years,the university reevaluated its retention rate.Identify the Type I error in this context.

A) The university stops all new programs,but in fact retention is on the rise and the programs help.
B) The university concludes that retention is on the rise,but in fact the new programs do not help retention.
C) The product of the university's sample size and sample proportion was less than 10.
D) The university sampled all students at the university.
E) The university concludes that retention is on the rise since the retention rate can only increase.

Question

Aliyah White · Accepted Answer

Final Answer : B, Explanation :  A Type I error occurs when the null hypothesis is rejected when it is actually true. In this context, the null hypothesis would be that the new programs did not increase the retention rate. If the university concludes that retention is on the rise but in fact the new programs did not help retention, then it would be committing a Type I error by rejecting the null hypothesis when it is actually true.

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