The following 4 questions (Q14 to Q17) are based on the following situation: If

Question

The following 4 questions (Q14 to Q17) are based on the following situation: If alpha = 03, and beta =.40, complete the following questions by inserting the appropriate probability of each. The statistical decision is to reject the null, and H_0 is really true (ie: a Type I error) The statistical decision is to fail to reject null, and H_0 is really true (ie: a correct decision) The statistical decision is to reject the null, and H_0 is really false (ie: Power) The statistical decision is to fail to reject the null, and H_0 is really false (ie a Type II error)

Explanation / Answer

Solution:-

14) is the probability of a Type I error (rejecting a true null, or "false positive") => p=0.03

15) 1 - is the probability of correctly failing to reject a true null (known as the "specificity") => p=1-0.03=0.97

16) 1 - ß is the probability of correctly rejecting a false null (known as the "power" or "sensitivity")

=> p = 1-0.40 =0.60

17) ß is the probablity of a Type II error (failing to reject a false null, or "false negative") => p=0.40

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