Suppose 65% of all college students have a laptop computer at home and a sample of 150 is taken.The standard deviation of the sampling distribution of is
A)0.0015
B)0.0389
C)0.6500
D)0.4769
E)0.0477

Question

Suppose 65% of all college students have a laptop computer at home and a sample of 150 is taken.The standard deviation of the sampling distribution of  is
A)0.0015 
B)0.0389 
C)0.6500 
D)0.4769 
E)0.0477

Quizplus · Accepted Answer

The formula for the standard deviation of a sampling distribution of proportions is:
standard deviation = √(p*(1-p)/n), where p is the proportion of the population with the characteristic of interest (in this case, having a laptop computer at home), and n is the sample size.

Substituting the given values, we get:
standard deviation = √(0.65*(1-0.65)/150) = 0.0389 (rounded to four decimal places)

Therefore, the best choice is (B) 0.0389, as it is the calculated standard deviation of the sampling distribution of proportions.

Suppose 65% of All College Students Have a Laptop Computer