6 In order to obtain a random sample of people who live in her town, Jane chooses people at random from the telephone directory for her town.
- Give a reason why Jane's method will not give a random sample of people who live in the town.
Jane now uses a valid method to choose a random sample of 200 people from her town and finds that 38 live in apartments.
- Calculate an approximate \(99 \%\) confidence interval for the proportion of all people in Jane's town who live in apartments.
- Jane uses the same sample to give a confidence interval of width 0.1 for this proportion. This interval is an \(x \%\) confidence interval. Find the value of \(x\).