A sample of size 30 is obtained from a population that has a

A sample of size 30 is obtained from a population that has a proportion of 0.34. Determine the range of sampling errors possible when the sample proportion is used to estimate the population proportion. Hint * Empirical Rule

I know that sigma(p)= square root of (pq/n)= square root [(0.34x0.66)/30] = 0.08648

Solution

Standard Error = Sqrt(p*(1-p)/n))
x = Mean
n = Sample Size,
Sample Size(n)=30
Sample proportion =0.34
Standard Error = Sqrt ( (0.34*0.66) /30) )
= 0.0865