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True or false?  In hypothesis testing you always present two sets of hypotheses.

Question

True or false?

In hypothesis testing you always present two sets of hypotheses.

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Solution

Explanation of the Statement

In hypothesis testing, we generally formulate two competing hypotheses: the null hypothesis and the alternative hypothesis.

  1. Null Hypothesis (H₀): This is the hypothesis that there is no effect or no difference. It serves as the default or baseline assumption that we seek to test.

  2. Alternative Hypothesis (H₁ or Hₐ): This hypothesis represents what we are trying to provide evidence for; it suggests that there is an effect or a difference.

Conclusion

The statement is True. In hypothesis testing, you typically present both a null hypothesis and an alternative hypothesis, which are essential for conducting statistical tests and making decisions based on data analysis.

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