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

To find the standard error of the proportion, we use the formula sqrt(p(1-p)/n), where p is the proportion of students living in the dormitories (0.4 in this case) and n is the sample size (80 in this case). Using this formula, we get sqrt(0.4(1-0.4)/80) = 0.05477, which is closest to answer choice C.

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