3 The developers of a shopping mall sponsored a study of the shopping habits of its users. Each of a random sample of 100 users was asked whether their weekend shopping was mainly on Saturday or mainly on Sunday. The results, classified according to whether the user lived in the city or the country, are shown in the table.
| City dweller | Country dweller |
| Saturday shopper | 23 | 19 |
| Sunday shopper | 42 | 16 |
- Test, at the \(10 \%\) significance level, whether there is an association between the area in which shoppers live and the day on which they shop at the weekend.
- State, with a reason, whether the conclusion of the test would be different at the \(3 \%\) significance level.