A recent survey of 120 senior citizens at a local supermarke
A recent survey of 120 senior citizens at a local supermarket found that 44% have purchased reusable cloth bags for groceries. What is the standard error of the sampling distribution of the sample proportion?
 A recent survey of 120 senior citizens at a local supermarket found that 44% have purchased reusable cloth bags for groceries. What is the standard error of the sampling distribution of the sample proportion?
 A recent survey of 120 senior citizens at a local supermarket found that 44% have purchased reusable cloth bags for groceries. What is the standard error of the sampling distribution of the sample proportion?
Solution
Solution:
where p is population proportion and n is sample size.
We are given p=44%=44/100=0.44
1-p
1-0.44=0.56
n=120
standard error of the sampling distribution of the sample proportion=sqrt(0.44(0.56)/120)
=.sqrt(.2464/120)
=0.045

