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: O1 Understand and apply the language of statistical hypothesis testing, developed through a binomial model, including null hypothesis, alternative hypothesis, significance level, test statistic, one-tail test, two-tail test, critical value, critical region, acceptance region and p-value; extend to correlation coefficients as measures of how close data points lie to a straight line and interpret a given correlation coefficient using a given p-value or critical value, excluding calculation of correlation coefficients..
Explanation
Why this works
Use the explanation to connect the worked answer back to O1 Understand and apply the language of statistical hypothesis testing, developed through a binomial model, including null hypothesis, alternative hypothesis, significance level, test statistic, one-tail test, two-tail test, critical value, critical region, acceptance region and p-value; extend to correlation coefficients as measures of how close data points lie to a straight line and interpret a given correlation coefficient using a given p-value or critical value, excluding calculation of correlation coefficients..
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
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