Answer: 766
Step-by-step explanation:
Given : The proportion of adults have consulted fortune tellers : p=0.
Margin of error : E= 0.03
Significance level :[tex]\alpha=1-0.98=0.02[/tex]
Critical value : [tex]z_{\alpha/2}=2.326[/tex]
The formula to calculate sample size ( if proportion is known) :-
[tex]n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\\Rightarrow\ n=(0.15)(1-0.15)(\dfrac{(2.326)}{0.03})^2\\\\\Rightarrow\ n=766.4557\approx766[/tex]
Hence, the required minimum sample would be 766.
