Exercise $3$

This exercise involves Python programming. Please write your answers to this question in a new Jupyter notebook. Export your work to a PDF using the steps outlined in Lab$01.$ Ensure you merge this PDF with the PDF containing your responses to the previous questions before submission. $($Refer to the instructions provided at the beginning of this homework assignment for guidance.$)$ As you did in Lab for tasks, please include the question number in a Markdown cell.

Using material seen during lecture and lab, create a Python function called CI$\_95\_$p$($p$,$n$)$ that takes two arguments $p,n$ and gives the confidence interval at $95\%$ of widehat$(P),$ the observed proportion in a sample consisting of $n$ individuals randomly drawn from the population with a true proportion $p.$ If the success$/$failure conditions are not met, the function should not return an interval but a message saying "Success$-$Failure conditions not met."

Check that the function works correctly by computing the confidence interval asked in Exercise $1,$ question $1.$