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GATE 2016 CE (CE1) – Question 14

Engineering Mathematics · Probability and Statistics: Probability, conditional probability, descriptive statistics · 1 mark · Multiple choice

Type II error in hypothesis testing is

  1. acceptance of the null hypothesis when it is false and should be rejected
  2. rejection of the null hypothesis when it is true and should be accepted
  3. rejection of the null hypothesis when it is false and should be rejected
  4. acceptance of the null hypothesis when it is true and should be accepted

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Show answer and explanation

Correct answer: (A) acceptance of the null hypothesis when it is false and should be rejected

Explanation

A Type II error occurs when the null hypothesis is false but the test fails to reject it, conventionally described here as accepting a false null hypothesis. That is **A**. Rejecting a true null hypothesis is instead a Type I error; the distinction concerns truth and the decision together.