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Questions › DSE › DSE 2011 › Q7
1 markStatistics › Hypothesis testing › Type I and type II errors and powerModerateabout 2 min

DSE 2011 Question 7: Hypothesis testing

A doctor testing a diagnostic tool for a rare disease wants to minimize the chance that the test will find a patient to be healthy when she is in fact sick (the null hypothesis being that the patient is healthy). The doctor should minimize the probability of:

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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 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 ≥…
  • IIT JAM 2022 · Q8In hypothesis testing, which of the following defines the size of the power of the test?
Practise Hypothesis testingMore on Type I and type II errors and power

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Question from the DSE 2011 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.