Answer: (0.685, 0.735)
Explanation:
First, we will compute the confidence level of the given:
[tex]\text{ Confidence Level }=\frac{36}{40}\times100\%=90\%[/tex]They gave us a margin of error of 0.025. From the given, we know that p=71%=0.71.
The confidence interval would then be:
[tex]\begin{gathered} (p-E,p+E) \\ =(0.71-0.025,0.71+0.025) \\ =(0.685,0.735) \end{gathered}[/tex]Therefore, the confidence interval would then be (0.685, 0.735)
