Hypothesis Testing
σ and Normality
Rough guidelines when
- If
, our t-based confidence interval performs well in most practical situations - If
, our t-based confidence...
Hypothesis Testing
Two main types of statistical inference procedures:
- Confidence intervals
- Hypothesis tests
The topic of this chapter is: hypothesis testing for a population mean,
Hypothesis
The hypothesis is some claim about a population (i.e parameter), such as
Null Hypothesis
Alternate Hypothesis
Left-tailed test:
Right-tailed test:
Two-tailed test:
Test Statistic
we select the test statistic that allows us to calculate probabilities given
P-Value
The p-valuue is the probability of observing your evidence given
Method
[!steps]
Interpreting a P-Value
Note:
P-value: the probability of observing the evidence if
We compare the p-value to some arbitrary cutoff
Errors
These are known as "false positives" and "false negatives"
Type 1 Error
Type 2 Error
where
What the
In this course:
If you run a two-tailed hypothesis test, you can make a conclusion about the confidence interval
If you make a confidence interval, you can make a conclusion about a two-tailed hypothesis test