Answer: 19
Step-by-step explanation:
The formula to find the sample size is given by :_
[tex]n=p(1-p)(\dfrac{z_{\alpha/2}}{E})[/tex]
Given : Significance level : [tex]\alpha:1-0.95=0.05[/tex]
Critical value : [tex]z_{\alpha/2}=1.96[/tex]
The estimated population proportion by using sample : [tex]p=\dfrac{90}{150}=0.6[/tex]
Margin of error : E=0.025
Now, the required sample size will be :-
[tex]n=0.6(1-0.6)(\dfrac{(1.96)}{0.025})=18.816\approx19[/tex]
