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For accepting or rejecting a null hypothesis, which one of the following is NOT used as a significance test method in statistics?

  • A.Z-test
  • B.Student’s t-test
  • C.Pearson’s correlation
  • D.Relative standard deviation

Answer: D

The one NOT used as a significance test is relative standard deviation.

The relative standard deviation (coefficient of variation) is a descriptive measure of spread, the standard deviation as a fraction of the mean. It has no test statistic or sampling distribution, so it cannot be used to accept or reject a null hypothesis.

The Z-test and Student's t-test compare a statistic with a known distribution to judge significance. Pearson's correlation coefficient comes with a standard significance test (via a t-statistic) of the null hypothesis that the true correlation is zero.

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