Answer: 741
Step-by-step explanation:
As per given ,we have
The prior estimate of population proportion: [tex]p=0.14[/tex]
Margin or error : 2.5%=0.025
Critical value for 95% confidence = [tex]z_{\alpha/2}=1.96[/tex]
Formula to find the sample size :-
[tex]n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2[/tex]
i.e. [tex]n=0.14(1-0.14)(\dfrac{1.96}{0.025})^2[/tex]
[tex]=740.045824\approx741[/tex]
Hence, the minimum sample size required to obtain this type of accuracy= 741
