An educational psychologist investigated whether the introduction of a morning "active travel tracker" app influenced the primary method of transport to school among pupils of different key stages. They recorded the main method of transport used by Key Stage 1, Key Stage 2, and Key Stage 3 pupils over a one-week period.
The table below shows the distribution of pupils' primary transport methods:
| Key Stage 1 | Key Stage 2 | Key Stage 3 | |
|---|---|---|---|
| Active Transport (Walking/Cycling) | 42 | 58 | 30 |
| Motorised Transport (Car/Bus) | 38 | 32 | 40 |
The psychologist analysed the data using a Chi-square test of association and obtained a calculated value of χ2=5.48\chi^2 = 5.48χ2=5.48.
Below is an extract from the table of critical values for the Chi-square test:
| Degrees of Freedom (dfdfdf) | p=0.10p = 0.10p=0.10 | p=0.05p = 0.05p=0.05 | p=0.01p = 0.01p=0.01 |
|---|---|---|---|
| 1 | 2.71 | 3.84 | 6.63 |
| 2 | 4.61 | 5.99 | 9.21 |
Write a significance statement presenting this finding, showing whether the results are significant or not at the 5% level of probability (p≤0.05p \le 0.05p≤0.05).
513 exam-style questions on OCR A Level Psychology Data recording, analysis and presentation. Each one has a worked solution and a mark scheme showing where the marks go.