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The critical region in testing of hypothesis is a region of .................

  • A.Rejection for \(H_{0}\)
  • B.Rejection for \(H_{1}\)
  • C.Acceptance for \(H_{0}\)
  • D.Acceptance for \(H_{1}\)

Answer: A

The critical region is the region of rejection for \(H_{0}\).

In a test of hypothesis, the sample space of the test statistic is divided into two parts. If the statistic falls in the critical region, the null hypothesis \(H_{0}\) is rejected; otherwise it is not rejected. The size of the critical region is the level of significance, the probability of rejecting \(H_{0}\) when it is true.

The test is framed around \(H_{0}\), so the critical region is not described as the rejection region of \(H_{1}\), and it is the opposite of an acceptance region.

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