In an experiment in which H ₁ is nondirectional, and the state of reality is such that the probability of a plus = 0.50, the probability of making a Type II error is _________. A) 1 - alpha B) 0 C) 1 D) need more information

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Quizplus · Accepted Answer

The statement that H ₁ is nondirectional means that it is a two-tailed test with a null hypothesis and an alternative hypothesis that are not specified as "greater than" or "less than." Therefore, the probability of making a Type II error (failing to reject a false null hypothesis) is not affected by the value of alpha, which is the probability of making a Type I error (rejecting a true null hypothesis). In other words, the probability of making a Type II error is solely determined by the power of the test, which is a function of the sample size, the effect size, and the significance level. Since the statement does not provide any information about these factors, we cannot calculate the exact probability of making a Type II error. However, we can say that it is not equal to 1 - alpha or 1, as these choices imply that the probability of making a Type II error is either zero or always certain, regardless of the context. Therefore, the best choice is B, which acknowledges that we cannot determine the probability of making a Type II error without more information.

In an Experiment in Which H 1 Is Nondirectional, and the State

In an Experiment in Which H ₁ Is Nondirectional, and the State