Given a population where the proportion of items with a desired attribute is p = 0.25,if a sample of 400 is taken,what is the standard deviation of the sampling distribution of ?
A)0.0512
B)0.0312
C)0.0217
D)0.0412

Question

Given a population where the proportion of items with a desired attribute is p = 0.25,if a sample of 400 is taken,what is the standard deviation of the sampling distribution of  ?
A)0.0512 
B)0.0312 
C)0.0217 
D)0.0412

Quizplus · Accepted Answer

The standard deviation of the sampling distribution of a proportion is given by the formula:
SD = sqrt [(p(1-p))/n], where p is the population proportion of items with the desired attribute, and n is the sample size.

Substituting the given values, we get:
SD = sqrt [(0.25 x 0.75)/400]
SD = sqrt (0.00046875)
SD = 0.0217 (rounded to 4 decimal places)

Therefore, the answer is C.

Given a Population Where the Proportion of Items with a Desired