notes/education/statistics/Hypothesis Tests.md
2024-02-01 14:14:19 -07:00

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## z tests for percentages
This test can be used if:
- The data is a simple random sample from the population of interest
- The sample size is large
- A qualitative variable of interest summarized by percentages
- Can use a box with tickets of 1s and zeros to represent the population
If an observed value is too many SEs away from the expected value, it is hard to explain by chance.
### Null Hypotheses
A statement about a parameter, a statement of equality. The chance of getting an *x* is *y*%.
An alternative hypothesis, or a research hypotheses, is what the researcher is out to prove. A statement of inequality (<, >, $\ne$).
| Term | Description |
| ---- | ---- |
| Null Hypothesis | This is a statement about a *parameter* |
| Alternative/Research Hypothesis | |
| One-tailed test | Use when the alternative hypothesis says that the % of 1s is less than or greater than expected. It's one sided |
## c tests for averages