Spam filters try to sort your e-mails, deciding which are real messages and whic

Question

Spam filters try to sort your e-mails, deciding which are real messages and which are unwanted. One method used is a point system. The filter reads each incoming e-mail and assigns points to the sender, the subject, key words in the message, and so on. The higher the point total the more likely it is that the message is unwanted. The filter has a cutoff value for the point total; any message rated lower than that cutoff passes through your inbox, and the rest, suspected to be spam, are diverted to the junk mailbox. We can think of the filter's decision as a hypothesis test. The null hypothesis is that the e-mail is a real message and should go in your inbox. A higher point total provide:s evidence that the message may be spam; when there's sufficient evidence, the filter rejects the null, classifying the message as junk. This usually works pretty well, but, of course, sometimes the filter makes a mistake. Complete parts (a) through (c) below. (a) In this context, what is meant by the power of the test? O A. Power is the probability the filter detects a real message that should go to your inbox. O B. Power is the probability the filter detects spam. O C. Power is the probability the filter does not detect a real message that should go to your inbox. D. Power is the probability the filter does not detect spam.

Explanation / Answer

We know, power is the probability that the test correctly rejects the null hypothesis (H0) when a specific alternative hypothesis (H1) is true.

Here, Option A is correct.

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