Answer: 0.07
Step-by-step explanation:
Given: A survey shows that 45% of the respondents pick option
i.e. P =45%= 0.45
Q=1-P=1-0.45=0.55
The total number of people replied n = 50
Now, the standard error of the proportion is given by :-
[tex]\text{S.E.}=\sqrt{\dfrac{PQ}{n}}\\\\\Rightarrow\text{S.E.}=\sqrt{\dfrac{0.45\times0.55}{50}}\\\\\Rightarrow\text{S.E.}=\sqrt{0.00495}\\\\\Rightarrow\text{S.E.}=0.0703562363974\approx0.07[/tex]
