Answer:
Probability that effect is real = 0.97
Step-by-step explanation:
Given data :
ratio of true to false = 0.7
Alpha level = 0.05
power of study = 0.8
Determine the probability that this effect is real
From the question we can deduce : 70% of events are real , 30% of events are not real
% of real effect = 0.8 * 70% = 56%
% of false effect = alpha level * percentage of unreal events
= 0.05 * 30% = 1.5%
summation of effects = 56 + 1.5 = 57.5%
Hence probability that the effect is real
= 56% / 57.5%
= 0.9739 ≈ 0.97