03. Setting Up Hypothesis Tests - Part I

Setting Up Hypotheses - Part I

In this video, you learned a few rules for setting up null and alternative hypotheses:

  1. The H_0 is true before you collect any data.

  2. The H_0 usually states there is no effect or that two groups are equal.

  3. The H_0 and H_1 are competing, non-overlapping hypotheses.

  4. H_1 is what we would like to prove to be true.

  5. H_0 contains an equal sign of some kind - either =, \leq , or \geq .

  6. H_1 contains the opposition of the null - either \neq , > , or < .

You saw that the statement, "Innocent until proven guilty" is one that suggests the following hypotheses are true:

H_0 : Innocent

H_1 : Guilty

We can relate this to the idea that "innocent" is true before we collect any data. Then the alternative must be a competing, non-overlapping hypothesis. Hence, the alternative hypothesis is that an individual is guilty.