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A type II error is :

  • A.Accepting \(H_{0}\) when it is false
  • B.Accepting \(H_{0}\) when it is true
  • C.Rejecting \(H_{0}\) when it is false
  • D.Rejecting \(H_{0}\) when it is true

Answer: A

A type II error is accepting H0 when it is false.

A hypothesis test can go wrong in two ways. A type I error is rejecting a null hypothesis that is true; its probability is the level of significance, α. A type II error is failing to reject (accepting) a null hypothesis that is false; its probability is β, and the power of the test is 1 − β.

Accepting H0 when it is true and rejecting it when it is false are both correct decisions. Rejecting H0 when it is true is the type I error.

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