Exhibit 10-12
The results of a recent poll on the preference of teenagers regarding the types of music they listen to are shown below.
-Refer to Exhibit 10-12. The standard error of is
A)0.48
B)0.50
C)0.03
D)0.0243

Question

Exhibit 10-12
The results of a recent poll on the preference of teenagers regarding the types of music they listen to are shown below. 
-Refer to Exhibit 10-12. The standard error of  is
A)0.48 
B)0.50 
C)0.03 
D)0.0243

Quizplus · Accepted Answer

To calculate the standard error of the proportion, we use the formula: 
SE = sqrt [ p * (1 - p) / n ] 
where p is the sample proportion, and n is the sample size.

For the category "Alternative/Rock", the sample size is 200, and the proportion of teenagers who prefer this type of music is 0.28.

SE = sqrt [ 0.28 * (1 - 0.28) / 200 ] = 0.0243

Therefore, the standard error of "Alternative/Rock" is 0.0243.

Exhibit 10-12 the Results of a Recent Poll on the Preference of Preference