Answer:
The standard error of the proportion is 0.0485.
Step-by-step explanation:
The standard error of a proportion p in a sample of size n is given by the following formula:
[tex]SE_{m} = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this problem, we have that:
[tex]n = 100, p = 0.38[/tex]
[tex]SE_{m} = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.38*0.62}{100}} = 0.0485[/tex]
The standard error of the proportion is 0.0485.