Suppose that 20% of interventions tested in the sports science literature are effective at enhancing athletic performanc

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Suppose that 20% of interventions tested in the sports science
literature are effective at enhancing athletic performance and 80%
are ineffective. A small study (n=10 per group) of a new supplement
found that supplemented athletes had significantly better
improvements in running times than control athletes, p<.05. you
estimate that the study had a power of 30% to detect a meaningful
difference in running times between the two groups. what is the
probability that this significant finding is a false positive?
a. 5%
b. 60%
c. 10%
d. 40%