You$$ve been asked to develop options for conducting a survey to measure smoking rates in the Australian population. The survey will only be used to calculate the national prevalence of smoking and is to be a random selection of the Australian population. You have some historical information on the underlying distribution of smoking in Australia which you use to develop the following options. Select the one option you would recommend. $*$Mandatory

Selection of $1$ million persons, with $3\%$ margin of error

Selection of $500,000$ persons, with $3\%$ margin of error

Selection of $1$ million persons, with $2\mathrm{.}5\%$ margin of error

Selection of $10,000$ persons with $2\mathrm{.}5\%$ margin of error