Exhibit 7-3
In a local university, 40% of the students live in the dormitories. A random sample of 80 students is selected for a particular study.
-Refer to Exhibit 7-3. The standard deviation of , known as the standard error of the proportion is approximately
A)0.5477
B)5.477
C)0.05477
D)54.77

Question

Exhibit 7-3
In a local university, 40% of the students live in the dormitories. A random sample of 80 students is selected for a particular study.
-Refer to Exhibit 7-3. The standard deviation of  , known as the standard error of the proportion is approximately
A)0.5477 
B)5.477 
C)0.05477 
D)54.77

Quizplus · Accepted Answer

The formula for calculating the standard error of the proportion is SEp = sqrt(pq/n), where p is the proportion of the population, q is the complement of the proportion (1-p), and n is the sample size. Given that p = 0.4, q = 0.6, and n = 80, the standard error of the proportion is calculated as SEp = sqrt(0.4*0.6/80) = 0.05477 (rounded to 5 decimal places), which corresponds to choice C.

Exhibit 7-3 in a Local University, 40% of the Students Live in Live