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Questions › UGC-NET › UGC-NET 2025 › Q29
2 marksStatistics › Hypothesis testing › Type I and type II errors and powerModerateabout 1 min

UGC-NET 2025 Question 29: Hypothesis testing

Match List-I with List-II.

List-IList-II
A. Type I errorI. Accept H0H_0H0​ when it is false
B. Type II errorII. H0:μ=μ0H_0: \mu = \mu_0H0​:μ=μ0​ and σ2=σ02\sigma^2 = \sigma_0^2σ2=σ02​
C. Simple HypothesisIII. Reject H0H_0H0​ when it is true
D. Composite HypothesisIV. H0:μ=μ0H_0: \mu = \mu_0H0​:μ=μ0​ and σ2\sigma^2σ2 is unknown

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Match List-I with List-II. | List-I | List-II | A. Type I error | I. Accept H₀ when it is false | B. Type II error | II. H₀: μ = μ₀ and σ² = σ₀² | C. Simple Hypothesis | III. Reject H₀ when it is true | D. Composite Hypothesis | IV. H₀: μ = μ₀ and σ² is unknown | (A) A-III, B-I, C-IV, D-II (B) A-I, B-III, C-II, D-IV (C) A-III, B-I, C-II, D-IV (D) A-I, B-III, C-IV, D-II

Also written as: Match List-I with List-II. | List-I | List-II | A. Type I error | I. Accept H_0 when it is false | B. Type II error | II. H_0: mu = mu_0 and sigma^2 = sigma_0^2 | C. Simple Hypothesis | III. Reject H_0 when it is true | D. Composite Hypothesis | IV. H_0: mu = mu_0 and sigma^2 is unknown |

Hypothesis testing has come up 47 times in 7 exams since 2007.

What this question tests

This question is on Type I and type II errors and power, part of Hypothesis testing in Statistics.

The two ways a test can be wrong and the probability of detecting a real effect.

TestStop has 15 past-paper questions on this subtopic; the nearest in year are below.

  • IIT JAM 2022 · Q8In hypothesis testing, which of the following defines the size of the power of the test?
  • IIT JAM 2021 · Q15Let X be uniform on [0, b]. Testing H₀: b = 2 against H_A: b ≠ 2 uses the critical region {x ≤ 0.1 or x ≥…
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