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

Quizplus · Accepted Answer

The formula for the standard error of the proportion is SE(p) = sqrt[p(1-p)/n], where p is the proportion, 1-p is the complement of the proportion, and n is the sample size. Plugging in the values given, we get SE(p) = sqrt[(0.4)(0.6)/80] = 0.05477 (rounded to five decimal places). Therefore, the answer is C.

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