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Hypothesis testing

  Hypothesis testing Hypothesis  testing is a form of  statistical inference  that uses data from a sample to draw conclusions about a population  parameter  or a population  probability distribution . First, a tentative assumption is made about the  parameter  or distribution. This assumption is called the  null hypothesis  and is denoted by  H 0 . An  alternative hypothesis (denoted  H a ), which is the opposite of what is stated in the null hypothesis, is then defined. The hypothesis-testing procedure involves using sample data to determine whether or not  H 0  can be rejected. If  H 0  is rejected, the statistical conclusion is that the  alternative  hypothesis  H a  is true. For example, assume that a radio station selects the music it plays based on the assumption that the average age of its listening audience is 30 years. To determine whether this assumption is valid, a hypothesis test could be conducted with the null hypothesis given as  H 0 : μ = 30 and the alternative hypothe