Exam-style question
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A test statistic is not in the critical region at the 5% significance level. State the conclusion.
- A.do not reject H0
- B.2o
- C.1o^2
- D.1o
Model answer
What a good answer should say
- The correct answer is do not reject H0.
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..
The distractors change the result or the form of the answer. The canonical solution reaches do not reject H0, so do not reject H0 is the only option consistent with the working.
Maths method check
- Topic focus: Statistics.
- Question style: practice.
- Reasoning demand: application.
- Check the operation, notation, units, and final answer form against the question before moving on.
Common mistake
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