Answer:
The standard error (SE) of the sample proportion is 0.0218.
Step-by-step explanation:
The standard error (SE) of a sample measures of spread, and can be determined by dividing the standard deviation by the square root of the sample size.
So that with respect to proportion, SE can be calculated by:
SE =
Where: p is the sample proportion and n is the sample size.
From the question, n= 500, while 304 complained of the unemployment rate.
Thus, the sample proportion is;
p =
p =
=0.608
∴ p = 0.608
Substituting the values of p and n in SE, we have:
SE =
=
=
= 0.021833
∴ SE = 0.0218
The standard error (SE) of the sample proportion is 0.0218.