A researcher conducted a study to investigate if a mindfulness app reduces anxiety levels (using a directional hypothesis) with a related design. After discarding the data of one participant who showed no change in anxiety, the final statistical analysis was conducted with N=9N = 9N=9 participants.
Using the extract of the table of critical values for the Wilcoxon T Signed Ranks test presented below, what is the critical value for a one-tailed test at the 5% (0.05) level of significance?
Extract of table of critical values for Wilcoxon T Signed Ranks test (T is significant if it is less than or equal to the table value)
| NNN | Level of significance for a one-tailed test | |||||
|---|---|---|---|---|---|---|
| .10 | .05 | .025 | .01 | .005 | .001 | |
| Level of significance for a two-tailed test | ||||||
| .20 | .10 | .05 | .02 | .01 | .002 | |
| 4 | 0 | |||||
| 5 | 2 | 0 | ||||
| 6 | 4 | 2 | 0 | |||
| 7 | 6 | 3 | 2 | 0 | ||
| 8 | 8 | 5 | 3 | 1 | 0 | |
| 9 | 11 | 8 | 5 | 3 | 1 | |
| 10 | 14 | 10 | 8 | 5 | 3 | 0 |
| 11 | 17 | 13 | 10 | 8 | 5 | 3 |
| 12 | 21 | 17 | 13 | 10 | 7 | 5 |
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.