In a local university, 70% of the students live in the dormitories.A random sample of 75 students is selected for a particular study.The standard deviation of , known as the standard error of the proportion is approximately
A) 0.5292.
B) 5.2915.
C) 0.0529.
D) 52.915.

Question

In a local university, 70% of the students live in the dormitories.A random sample of 75 students is selected for a particular study.The standard deviation of  , known as the standard error of the proportion is approximately
A) 0.5292. 
B) 5.2915. 
C) 0.0529. 
D) 52.915.

Quizplus · Accepted Answer

The formula for the standard error of the proportion is:

SE = sqrt(p * (1-p) / n)

where p is the proportion and n is the sample size.

In this case, p = 0.7 (70% of the students live in the dormitories) and n = 75.

SE = sqrt(0.7 * (1-0.7) / 75) = 0.0529

Therefore, the standard error of the proportion is approximately 0.0529 and the best choice is C.

In a Local University, 70% of the Students Live in the Dormitories.A