Answer: 0.0971
Step-by-step explanation:
Given : Sample size : [tex]n=26[/tex]
The percent of people are afraid of flying [tex]=43\%[/tex]
Thus the proportion of people are afraid of flying [tex]P=0.43[/tex]
We know that the formula to find the standard deviation of the distribution of sample proportions is given by :-
[tex]\text{S.E.}=\sqrt{\dfrac{P(1-P)}{n}}\\\\\Rightarrow\text{S.E.}=\sqrt{\dfrac{0.43(1-0.43)}{26}}\\\\\Rightarrow\ \text{S.E.}=0.0970923430396\approx0.0971[/tex]
Hence, the standard deviation of the distribution of sample proportions = 0.0971
