How to Answer a Probability & Significance Question (AQA A Level Psychology) : Revision Note
How do I answer an AQA A Level Psychology probability & significance question?
Probability and significance questions can appear in Papers 1 , 2 and 3, and they assess your ability to:
demonstrate knowledge and understanding of using statistical tables to determine significance (AO1)
apply knowledge and understanding of scientific ideas, processes, techniques and procedures (AO2)
A typical significance question is presented with a scenario or stem (usually a research study) and is designed to test your AO2 skills
E.g., is the psychologist’s calculated value significant? With reference to Table 1, explain your answer [3 marks]
Using statistical tables to determine significance
After determining the correct statistical test, the psychologist will calculate the data they have collected, which will produce an observed or calculated value
This is represented as a test statistic, e.g., U = 40, T = 20
You will always be given the calculated/observed value in the exam paper for all the statistical tests except the sign test, as you may have to calculate it yourself
You may be asked to work out whether the psychologist's results are significant
To find this out, the calculated value must be compared to a critical value
You will be provided with a table of critical values in the exam paper, e.g.

There are several steps involved in selecting the correct critical value from the table
Is the hypothesis directional (one-tailed) or non-directional (two-tailed)?
How many participants (N) were in the study? For some statistical tests, this figure is degrees of freedom instead (df)
What is the level of significance (the standard is p≤0.05)?
Once you have all of this data, you need to find the critical value by looking across the correct row and down the correct column
It is ok to highlight or circle the critical value you have chosen on the exam paper
To determine whether the psychologist's results are significant or not, you will need to compare the calculated value you have been given with the critical value you have chosen
There will always be a sentence under the critical values table that tells you whether the calculated value should be equal to/more than or equal to/less than the critical value for the results to be significant
How to write a statement of significance
Once significance is determined, a statement of significance will then be written, which should include:
the calculated value and whether it is equal to, more than or less than the critical value
whether the result is significant or not at the stated significance level
whether the study has a one-tailed or two-tailed hypothesis
the number of participants (N) or degrees of freedom (df)
E.g., as the calculated value of U (10.5) is less than the critical value (17), the result is significant at a 0.05 significance level for a two-tailed test, where N1 = 10 and N2 = 8
You should then include what happens to the null hypothesis
If the results are significant, the null hypothesis is rejected and the alternative hypothesis is accepted
If the results are not significant, the null hypothesis is accepted and the alternative hypothesis is rejected
E.g., this means that we can reject the the null hypothesis and accept the alternative hypothesis
Worked Example
Here is an example of a question using statistical tables to determine significance:
A researcher investigated whether there was a correlation between the number of hours slept and how well rested students felt. The researcher randomly selected 18 participants from first-year students at a university.
On the day of the study, each student participant was asked, ‘How many hours did you sleep last night?’ They then had to rate on a scale of 1 to 5 how well rested they felt.
The researcher hypothesised that there would be a positive correlation between the two covariables.
The researcher chose to use the 5% level of significance and the calculated correlation coefficient for the Spearman’s rho test was 0.395
Level of significance for a one-tailed test | 0.05 | 0.025 |
Level of significance for a two-tailed test | 0.10 | 0.05 |
N = 16 | 0.429 | 0.503 |
17 | 0.414 | 0.485 |
18 | 0.401 | 0.472 |
19 | 0.391 | 0.460 |
20 | 0.380 | 0.447 |
The calculated value of rho must be greater than or equal to the critical value to be significant.
Q1. Identify the appropriate critical value from the table above. Explain your choice.
[4 marks]
Identify the critical value:
the critical value is 0.401 [1 mark]
Provide three justifications:
the hypothesis is directional/it is a one-tailed test
there are 18 participants so N = 18
the level of significance is 0.05 [3 marks]
Marking commentary:
This response receives full marks as the critical value is correctly identified and justified. The hypothesis is directional, as in the stem it states, 'there would be a positive correlation'. The number of participants and the level of significance are also provided in the stem.
Worked Example
Here is an example of a question requiring a statement of significance:
Q2. Explain whether the results are significant. Refer to the critical value identified in Q1 in your answer.
[3 marks]
Model answer:
As the calculated value of rho (0.395) is less than the critical value (0.401), the result is not significant at a 0.05 significance level for a one-tailed test, where N = 18. This means that we can accept the the null hypothesis and reject the alternative hypothesis [3 marks]
Marking commentary:
This response receives full marks as the results are not significant as the calculated value of rho provided in the stem (0.395) is less than the critical value. The sentence below the critical values table states that 'the calculated value of rho must be greater than or equal to the critical value to be significant'.
Examiner Tips and Tricks
Examiners have suggested the following advice to help you improve your performance on probability and significance questions:
Read the stem carefully and focus on the specific wording used
Read the stem more than once, as there is usually a lot of information provided about the research study
It is helpful to highlight, underline and annotate parts of the stem/research study before you answer any questions
This will help you to fully engage with and understand the study
Highlight, circle or underline the chosen critical value in the table, as you can still earn a mark if you forget to include the value in your answer
In case you are not given a probability/significance value, remember that the usual level in psychology is 0.05
This is to avoid the chances of making either a Type l or Type ll error
Remember that the only test that you need to calculate is the sign test
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