9231 P42 - Nov 2022 - Q2 - 7 marks
6786
In the colleges in three regions of a particular country, students are given individual targets to achieve. Their performance is measured against their individual target and graded as above target, on target or below target. For a random sample of students from each of the three regions, the observed frequencies are summarised in the following table.
| Performance | A | B | C | Total | |
|---|---|---|---|---|---|
| Performance | Above target | 62 | 41 | 44 | 147 |
| On target | 102 | 94 | 95 | 291 | |
| Below target | 56 | 45 | 61 | 162 | |
| Total | 220 | 180 | 200 | 600 | |
Test, at the 10% significance level, whether performance is independent of region.
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