Question

A student reports that, of a simple random sample of 50 college u undergraduate students, 21 % were taking more than fifteen credit hours we know that the student has made mistake (or maybe really did not conduct the survey). Why? A) There are . 5 0 students in the sample, so percentages should be multiples of 2% B) There are 50 students in the sample, so percentages should be multiples of 0.02% c) D) 21% of 50 students is 10.5 students, and you cannot sample a fraction of a student. Both A and C are correct. E) Both B and C are correct

Answer 1

D) Both A and C are correct.

Explanation:

If the sample contains 50 students, the percentage equivalent to each student is:

`P = (100\%)/(50)=2\%`

Each student corresponds to 2%, which means that percentages should be multiples of 2%.

21% is not a multiple of 2% and corresponds to:

`n = 0.21*50 = 10.5`

21% of 50 students is 10.5 students, and you cannot sample a fraction of a student.

Therefore, Both A and C are correct.