A university administrator expects that 25% of students in a core course will receive an A. He looks at the grades assigned to 60 students. What are the expected value and the standard error for the proportion of students that receive an A?
A) 0.25 and 0.0031
B) 0.25 and 0.0559
C) 15.0 and 0.0031
D) 15.0 and 0.0559

Question

Quizplus · Accepted Answer

The expected value for the proportion of students that receive an A is equal to the expected proportion of students that receive an A, which is 0.25.

The standard error for the proportion can be found using the formula:

SE = sqrt(p*(1-p)/n)

where p is the expected proportion of students that receive an A (0.25), and n is the sample size (60).

SE = sqrt(0.25*(1-0.25)/60) = 0.0559

Therefore, the expected value is 0.25 and the standard error is 0.0559, making answer B the best choice.

A University Administrator Expects That 25% of Students in a Core