Answer: 267
Step-by-step explanation:
if we the prior proportion of population doesn't exist , then the formula to find the sample size is given by :-
[tex]n=0.25\times(\dfrac{z_{\alpha/2}}{E})^2[/tex]
Given : Confidence level : 0.95
Significance level : [tex]\alpha: 1-0.95=0.05[/tex]
Critical value : [tex]z_{\alpha/2}=1.96[/tex]
Margin of error : [tex]E=0.06[/tex]
Then , the required sample size will be :-
[tex]n=0.25\times(\dfrac{1.96}{0.06})^2\\\\\Rightarrow\ n=266.777777778\approx267[/tex]
Hence, the minimum required sample size = 267
