notes/education/statistics/Hypothesis Tests.md

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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
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If an observed value is too many SEs away from the expected value, it is hard to explain by chance.
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### 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