7 A theatre has morning, afternoon and evening shows.
On one particular day, the theatre asks all of its customers to state whether they enjoyed or did not enjoy the show.
The results are summarised in the table.
| Morning show | Afternoon show | Evening show | Total |
| Enjoyed | 62 | 91 | 172 | 325 |
| Not enjoyed | 25 | 35 | 115 | 175 |
| Total | 87 | 126 | 287 | 500 |
The theatre claims that there is no association between the show that a customer attends and whether they enjoyed the show.
7
- Investigate the theatre's claim, using a \(2.5 \%\) level of significance.
7 - By considering observed and expected frequencies, interpret in context the association between the show that a customer attends and whether they enjoyed the show.