Exam-style question
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A test statistic is not in the critical region at the 5% significance level. State the conclusion. Show your working one step at a time.
Model answer
What a good answer should say
- The final answer is do not reject H0.
- State H0 as the null hypothesis and H1 as the alternative hypothesis.
- Compare the test statistic with the critical region at the 5% significance level.
- The test statistic is outside the critical region.
This answer is tied to the objective: O3 Conduct a statistical hypothesis test for the mean of a Normal distribution with known, given or assumed variance and interpret the results in context..
Explanation
Why this works
Use the explanation to connect the worked answer back to O3 Conduct a statistical hypothesis test for the mean of a Normal distribution with known, given or assumed variance and interpret the results in context..
exam warm-up keeps the canonical answer do not reject H0 fixed before the model answer is written, so the worked solution and final answer agree.
Maths method check
- Topic focus: Statistics.
- Question style: exam_style.
- Reasoning demand: recall.
- Check the operation, notation, units, and final answer form against the question before moving on.
Common mistake
No common mistake is linked to this question yet.