Table 3: Expected outcome for testing 𝑀 hypotheses.

Truth Test decision Total
Reject 𝐻 0 Reject 𝐻 𝑎

𝐻 0 𝛼 𝑚 0 ( 1 𝛼 ) 𝑚 0 𝑚 0
𝐻 1 ( 1 𝛽 ) 𝑚 1 𝛽 𝑚 1 𝑚 1

Total 𝛼 𝑚 0 + ( 1 𝛽 ) 𝑚 1 ( 1 𝛼 ) 𝑚 0 + 𝛽 𝑚 1 𝑀