Hypothesis Testing: Concept
- To test if the True Population Mean is statistically significantly different from the Hypothetical Mean
- Statistically significantly different suggests the difference between the True and Hypothetical Means cannot be explained by the natural variation in the data
- Mathematical view of proof
- A perfect world of numbers and symbols as well as their relationship
- Most mathematical proofs are proved with certainty
- Statistical view of proof
- The world of numbers and symbols as well as their relationship cannot be observed without noise.
- Most statistical proofs are proved beyond reasonable doubt.
- Statisticians, like juries, have to assess the real world as the data suggest and take the decisions under the condition of uncertainty.
- All statistical conclusions therefore attached with a measure of probability indicating the confidence of the conclusion, or how we could reach the similar conclusion purely by chance.