Conditional on a false relationship, the independent studies are each negative with probability $1-\alpha$. The complement of at least one positive is that all are negative. Hence the <familywise error rate> is $\boxed{1-(1-\alpha)^n}$.

Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / iii / Paper 44 / 1 / f / Solution

 Solution (source code)