Exam-style question
Try this first
Use a checking method for this problem: A test statistic is not in the critical region at the 5% significance level. State the conclusion. State the final answer and verify it against the information in the question.
Model answer
What a good answer should say
- A valid checked answer is do not reject H0.
- The method is: 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: O2 Conduct a statistical hypothesis test for the proportion in the binomial distribution and interpret results in context; understand that a sample is used to make an inference about the population and that the significance level is the probability of incorrectly rejecting the null hypothesis..
Explanation
Why this works
Use the explanation to connect the worked answer back to O2 Conduct a statistical hypothesis test for the proportion in the binomial distribution and interpret results in context; understand that a sample is used to make an inference about the population and that the significance level is the probability of incorrectly rejecting the null hypothesis..
calculator check 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.