Question

In the figure below, vertical lines A and C indicates to the 2.5% tails of the null distribution, while B and D indicates the 2.5% tails of the alternate distribution. In other words, the red areas (area 0 and 8) sum to 5%. If the significance level alpha-5%, which area corresponds to the probability of correctly rejecting null hypothesis when the alternate hypothesis is true (i.e., the statistical power)? (assume a two-sided test) For your answer, select any areas that correspond to the answer. For example, if the answer was the sum of areas X and Y, select both areas X and Y as answers. Hint: there are multiple areas/answer choices that you need to select to get the correct answer. 0 6 alternate distribution BC null distribution 6 5 8 test statistic a. Area 0 Area 1 Area 2 Area 3 e. Area 4 f. Area 5 9. Area 6 h. Area 7 Area 8

Answer 1

Null hypothesis is rejected in area left to A and right to C. (areas 0 and 6. 7. 8)

Alternative hypothesis is true for areas 2, 3, 4, 5, 6, 7 and 8.

Probability of correctly rejecting null hypothesis when the alternative hypothesis is true = Area common to areas (0, 6, 7, 8) and (2, 3, 4, 5, 6, 7, 8)

= Area 6, 7 and 8

Answer is ,

g. Area 6

h. Area 7

i. Area 8