Practice question · Put in order
Order the steps of a hypothesis test.
- Compare the p-value with alpha and state the decision
- Compute the test statistic from the sample data
- State the null and alternative hypotheses
- Choose the significance level alpha before seeing the result
- Find the p-value, the probability of data this extreme assuming H0
Hints
- The threshold must be fixed before the data can influence it.
- The p-value is derived from the test statistic, not the other way around.
Show the answer
- State the null and alternative hypotheses
- Choose the significance level alpha before seeing the result
- Compute the test statistic from the sample data
- Find the p-value, the probability of data this extreme assuming H0
- Compare the p-value with alpha and state the decision
Why
Choosing alpha after seeing the p-value would let you guarantee any conclusion you like, which is why it is fixed in advance. Everything after that is mechanical: statistic, p-value, comparison.
Practise Hypothesis Testing
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