1 An analysis of a random sample of 150 urban dwellings for sale showed that 102 are semi-detached.
An analysis of an independent random sample of 80 rural dwellings for sale showed that 36 are semi-detached.
- Construct an approximate \(99 \%\) confidence interval for the difference between the proportion of urban dwellings for sale that are semi-detached and the proportion of rural dwellings for sale that are semi-detached.
- Hence comment on the claim that there is no difference between these two proportions.