Answer: 2401
Step-by-step explanation:
We know that if prior proportion of population doesn't exist , then the formula to find the population proportion is given by :_
[tex]n=0.25(\dfrac{z_{\alpha/2}}{E})^2[/tex]
Given : Level of confidence = 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=0.02[/tex]
Then ,we have
[tex]\Rightarrow n=0.25(\dfrac{1.96}{0.02})^2=2401[/tex]
Hence, the minimum sample size needed =2401