Answer: 915
Step-by-step explanation:
The formula to calculate the sample size is given by :-
[tex]n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2[/tex]
Given : The proportion of people polled answered yes to the question : p=0.37
The margin of error : E=0.03
Significance level : [tex]\alpha:\ 1-0.94=0.06[/tex]
Critical value : [tex]z_{\alpha/2}=1.88[/tex]
Then ,
[tex]n=(0.37)(0.63)(\dfrac{(1.88)}{0.03})^2\\\\\Rightarrow\ n=915.4096\approx915[/tex]
Hence, at-least 915 people were surveyed.
