A random sample of size 1,000 is taken from a population where p = .20.Describe the sampling distribution of .
A)Cannot be determined
B)Normal
C)Skewed to the left
D)Skewed to the right

Question

A random sample of size 1,000 is taken from a population where p = .20.Describe the sampling distribution of  .
A)Cannot be determined 
B)Normal 
C)Skewed to the left 
D)Skewed to the right

Quizplus · Accepted Answer

The sampling distribution of 11eaa0cf_06f5_fca1_9cb2_23aa985be2b3_TB1737_11 is approximately normal when the sample size is large enough (n>30) and the population proportion is not too close to 0 or 1. In this case, n=1,000 which is large enough and p=0.20 which is not too close to 0 or 1. Therefore, the sampling distribution is approximately normal.

A Random Sample of Size 1,000 Is Taken from a Population