What Complement is
Complement in statistics is a concept that is used to calculate probabilities. It involves subtracting the probability of an event from one to find the probability of a complementary event. For example, if the probability of an event is 0.3, then the probability of its complement is 0.7.
Steps for Complement:
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Identify the probability of the event in question.
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Subtract the probability from one.
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The result is the probability of the complement.
For example, if the probability of it raining tomorrow is 0.4, then the probability of it not raining tomorrow is 1 - 0.4 = 0.6.
Examples
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The complement of an event in a population is the set of all outcomes that do not belong to the event. For example, if the event is “drew a red card from a deck of cards,” then the complement of that event would be “all the cards that are not red.”
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The complement of a confidence interval is the set of all values that are not contained within the interval. For example, if the confidence interval is (5, 10), then the complement would be all values less than 5 or greater than 10.