- Abram carried out a survey of two treatments for a plant fungus. The contingency table below shows the results of a survey of a random sample of 125 plants with the fungus.
| \multirow{2}{*}{} | Treatment |
| | No action | Plant sprayed once | Plant sprayed every day |
| \multirow{3}{*}{Outcome} | Plant died within a month | 15 | 16 | 25 |
| Plant survived for 1-6 months | 8 | 25 | 10 |
| Plant survived beyond 6 months | 7 | 14 | 5 |
Abram calculates expected frequencies to carry out a suitable test. Seven of these are given in the partly-completed table below.
| \multirow{2}{*}{} | Treatment |
| | No action | Plant sprayed once | Plant sprayed every day |
| \multirow{3}{*}{Outcome} | Plant died within a month | | | 17.92 |
| Plant survived for 1-6 months | 10.32 | 18.92 | 13.76 |
| Plant survived beyond 6 months | 6.24 | 11.44 | 8.32 |
The value of \(\sum \frac { ( O - E ) ^ { 2 } } { E }\) for the 7 given values is 8.29
Test at the \(2.5 \%\) level of significance, whether or not there is an association between the treatment of the plants and their survival. State your hypotheses and conclusion clearly.