Question 1183121
The comfidence interval is 


{{{p[1] - t[0.05]*sqrt((p[1]*(1-p[1]))/n) <= mu <= p[1] + t[0.95]*sqrt((p[1]*(1-p[1]))/n) }}}

{{{0.59 - 1.653*sqrt((0.59*0.41)/200) <= mu <= 0.59+ 1.653*sqrt((0.59*0.41)/200) }}}


{{{0.5325 <= mu <= 0.6475}}}

The values for {{{t[0.05]}}} and {{{t[0.95]}}} with 199 degrees of freedom were obtained from https://stattrek.com/online-calculator/t-distribution.aspx.