Consider again the points-based spam filter described in Exercise 28. When the points assigned to various components of an e-mail exceed the cutoff value you've set, the filter rejects its null hypothesis (that the message is real) and diverts that e-mail to a junk mailbox.
a) In this context, what is meant by the power of the test?
b) What could you do to increase the filter's power?
c) What's the disadvantage of doing that?