Choose the correct option.

In a work sampling study, it is found that a particular machine does not work $20\%$ of the time. What will the $95\%$ confidence interval of this estimate be$,$ if $100$ observations are made?

Options

$(0\mathrm{.}12\mathrm{.}0\mathrm{.}28)$

$(0\mathrm{.}16\mathrm{.}0\mathrm{.}24)$

$(0\mathrm{.}08\mathrm{.}0\mathrm{.}32)$

$(0\mathrm{.}05\mathrm{.}0\mathrm{.}20)$