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 proportion is SEp = sqrt(p(1-p)/n), where p is the proportion of interest (0.7 in this case) and n is the sample size (75 in this case). Plugging in the numbers, we get SEp = sqrt(0.7(1-0.7)/75) which simplifies to approximately 0.0529. Therefore, the answer is C.

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