Answer: 0.030
Step-by-step explanation:
Given: The percent of the items produced by a machine are defective :[tex]P=10\%=0.10[/tex]
The percent of the items produced by machine which are not defective:[tex]Q=1-0.1=0.9[/tex]
Sample size : n = 100
Now, the standard error of the proportion is given by :-
[tex]\text{S.E.}=\sqrt{\dfrac{0.1\times0.9}{100}}\\\\\Rightarrow\text{S.E.}=0.030[/tex]
Hence, the the standard error of the distribution of the sample proportions=0.030
