The costs associated with conducting interviews for a job opening have skyrocketed over the years. According to a Harris interactive survey, $260$ of $500$ senior human resources executives at U$.$S companies believe that their hiring managers are interviewing too many people to find qualified candidates for the job.

The $95\%$ confidence interval for the true proportion p of human resource executives who believe that their hiring managers are interviewing too many people, is given by

$0\mathrm{.}52\backslash$pm $0\mathrm{.}143$

$0\mathrm{.}52\backslash$pm $0\mathrm{.}031$

$0\mathrm{.}52\backslash$pm $0\mathrm{.}062$

$0\mathrm{.}52\backslash$pm $0\mathrm{.}0437$