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Used to compaer observed data with expected data
Tests null hypothesis – which states that there is no significant difference between the observed and the expected data.
x^2=\Sigma\frac{(O-E)^2}{E}
O -> Observed (given) E -> Expected (calculate)
Expected -> head(50), tails(50)
Null hypothesis: Equal probability getting heads/tails, any diff is due to chance.
$ What is a degree of freedom?
Degree of freedom is number of possible outcomes - 1. For example, a dice roll would have 5 degrees of freedom.
| O | E | (O-E) | (O-E)^2 | (O-E)^2/E | |
|---|---|---|---|---|---|
| Head | 43 | 50 | -7 | 49 | 49/50=0.98 |
| Tails | 57 | 50 | 7 | 49 | 49/50=0.98 |
Note: Rewatch video at 2:52PM 8/22/2023