The results of a poll are stated as follows: “Based on a survey of 156 randomly selected students, 90% of the student body of 2870 students agree that no student should have to take final exams in two consecutive exam periods”. If 2578 students actually agree, then what is the absolute error in the reported result?
A. 5 students
B. 287 students
C. 0.17%
D. 292 students
Answer: A
. 5 students
Well, well, well! Looks like we have a case of a little exaggeration going on here. It seems like the pollsters were just a teeny bit off with their reported result. The absolute error is simply the difference between what was reported and what actually is. In this case, the absolute error is the difference between 2578 (the actual number of students who agree) and 90% of 2870 (the reported result). So, let's do some simple math.
90% of 2870 = 0.9 * 2870 = 2583
Now, subtract the two numbers:
2578 - 2583 = -5
And there you have it! The absolute error is 5 students. So, option A is your answer. Keep your eyes peeled for those sneaky exaggerations!
To find the absolute error in the reported result, we need to calculate the difference between the reported result and the actual result.
The reported result states that 90% of the student body of 2870 students agree, which would be 0.90 * 2870 = 2583 students.
The actual result states that 2578 students agree.
The absolute error is the absolute difference between the reported result and the actual result, which is |2583 - 2578| = 5 students.
Therefore, the absolute error in the reported result is 5 students, so the correct answer is A.
To find the absolute error in the reported result, we first need to calculate the number of students that the reported result is off by.
The reported result states that 90% of the student body agrees. Therefore, if 90% of 2870 students agree, it would be: (90/100) * 2870 = 2583 students.
However, the actual number of students who agree is given as 2578 students.
To find the absolute error, we subtract the actual value from the reported value: 2583 - 2578 = 5 students.
Therefore, the absolute error in the reported result is 5 students.
The correct answer is A. 5 students.