Answer the following power questions:

The histogram below shows the Pvalues for a prospective study based on 50 simulations. For alpha = 0.05 and 0.2, what are the power of the study? a #Studies Oth-IIMQN (0.10. 0.15] (0.15. 0.20] (0.20. 0.25] (0.25. 0.30] (0.30. 0.35] (0.35. 0.40] (0.40. 0.45] (0.45. 0.50] (0.50. 0.55] (0.55. 0.60] (0.60. 0.65] (0.65. 0.70] (0.70. 0.751 (0.75. 0.80] (0.80. 0.05] (0.85. 0.90] (0.90. 0.95] (0.95. 1.001 [0.00. 0.05] (0.05. 0.10] p k E c (0 to O a. 96% and 74% respectively O b. 14% and 28% respectively 0 c. 4% and 26% respectively 0 d. Power cannot be computed based on just this histogram 0 e. 86% and 72% respectively Which of the following is/are true statement(s) about the power of a study? Select all that apply. Note: Wrong selection results in points deduction on this question. Please choose wisely 3 a. Power is invariant to the magnitude of effect size for a given alpha cutoff and sample size :1 b. Given an effect size, increasing the sample size increases power :1 c. Given an effect size, increasing alpha cutoff increases power 3 d. Given an effect size, increasing the variability of samples increases power