Question

An ancient Egyptian scholar wanted to test the null hypothesis that the pharoah could control the flooding of the Nile by raising his arms over his head. He conducts a hypothesis test where the null hypothesis is that the pharoah can control the Nile, and concludes (p = .005) that the pharoah can, in fact, control the flooding of the Nile. Future researchers have determined that the pharoah could not really control the Nile. What type of error did that ancient scholar make?

Answer 1

Solution :

Type II error :

The error committed by not rejecting the null hypothesis when in fact the null hypothesis is false is known as type II error.

The null hypothesis is as follows :

H​​​​​​0 : The pharoah can control the Nile.

The ancient scholar did not reject the null hypothesis and concluded that pharoah can control the Nile. But Future researchers have determined that the pharoah could not really control the Nile.

It means ancient scholar did not reject the null hypothesis when in fact the null hypothesis was false, therefore the ancient scholar made type II error.