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Discussion

Match the column I and II and select code :

Column IColumn II
(1) Alpha (\(\alpha\))(i) The magnitude of type II error
(2) Type I error(ii) Acceptance of the null hypothesis when null hypothesis is false
(3) Type II error(iii) Level of significance
(4) Beta (\(\beta\))(iv) Rejection of the null hypothesis when null hypothesis is true

  • A.1-iii, 2-iv, 3-ii, 4-i
  • B.1-iii, 2-ii, 3-i, 4-iv
  • C.1-i, 2-iv, 3-ii, 4-iii
  • D.1-i, 2-iii, 3-iv, 4-ii

Answer: A

The correct match is 1-iii, 2-iv, 3-ii, 4-i.

  • Alpha is the level of significance, the probability of a type I error that the researcher accepts, often 0.05 (1-iii).
  • A type I error is rejecting the null hypothesis when it is true (2-iv).
  • A type II error is accepting (failing to reject) the null hypothesis when it is false (3-ii).
  • Beta is the probability, the magnitude, of a type II error; 1 - beta is the power of the test (4-i).

The other codes give alpha to type II error or swap the definitions of the two errors.

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