# Statistics: Why can the null hypothesis not be proved?

Suppose that you perform a significance test regarding a population mean, and that the evidence does not warrant rejection of the null hypothesis. When formulating the conclusion to the test, why is the phrase "fail to reject the null hypothesis" more accurate than the phrase "accept the null hypothesis"? Why can the null hypothesis not be proved? Explain.

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In hypothesis testing the null hypothesis is never proved or established, but is possibly disproved, in the course of the test. Every experiment may be said to exist only in order to give the facts a chance of disproving the null hypothesis. In other words, hypothesis testing begins with the statement that the ...

#### Solution Summary

This solution explains why the null hypothesis is never proved or established, but is possibly disproved in 248 words in an attached Word document.