Which of the following statements is true?

A) The probabilities of committing Type I and Type II errors are related such that when one is increased, the other will increase also.
B) The decision maker controls the probability of committing a Type I error.
C) The probability of committing a Type I error is the represented by the Greek letter.
D) The probability of committing a Type II error is the represented by the Greek letter.
E) The probability of committing a Type II error is the same as the level of significance.

Question

Muhsin Yildiz · Accepted Answer

Final Answer : B, Explanation :  The decision maker controls the probability of committing a Type I error by selecting the level of significance (alpha) for the test. The probabilities of committing Type I and Type II errors are inversely related, meaning that as the probability of one error decreases, the probability of the other error increases. The Greek letter alpha (α) represents the level of significance, which is the probability of rejecting a true null hypothesis. The probability of committing a Type II error is represented by the Greek letter beta (β), and it is not necessarily the same as the level of significance.

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