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Stating Hypotheses - Stating Hypotheses .First, ....

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Stating Hypotheses One common use of statistics is the testing of scientific hypotheses. First, the investigator forms a  research hypothesis  that states an expectation to be tested. Then the investigator derives a  statement that is the opposite of the research hypothesis. This statement is called the  null  hypothesis  (in notation:  H 0 ). It is the null hypothesis that is actually tested, not the research  hypothesis. If the null hypothesis can be rejected, that is taken as evidence in favor of the research  hypothesis (also called the  alternative hypothesis,   H a   in notation). Because individual tests are  rarely conclusive, it is usually not said that the research hypothesis has been “proved,” only that it  has been supported.  An example of a research hypothesis comparing two groups might be the following:  Fourth-graders in Elmwood School perform differently in math than fourth-graders in Lancaster 
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