Question

If a sample proportion is 0.28, which of the following is most likely the range

of possible values that best describes an estimate for the population
parameter?
A. (0.14, 0.36)
B. (0.16, 0.38)
C. (0.17, 0.39)
D. (0.15, 0.37)

Answer 1

C. (0.17, 0.39)

Explanation:

Range of possible values that best describes an estimate for the population parameter is given by the formula;

p^ ± z(SE)

Now, we are given sample proportion is 0.28. Thus, p^ = 0.28

The range will have to be same difference to the left of 0.28 as it is to the right of 0.28.

For option A; difference between 0.14 and 0.28 which is 0.16 is not the same difference between 0.36 and 0.28 which is 0.08. Thus it's not correct.

For option B: difference between 0.16 and 0.28 which is 0.12 is not the same difference between 0.38 and 0.28 which is 0.10 Thus it's not correct.

For option C: difference between 0.17 and 0.28 which is 0.11 is the same difference between 0.39 and 0.28 which is also 0.11. Thus it's correct.

Foe option D: difference between 0.15 and 0.28 which is 0.13 is not the same difference between 0.37 and 0.28 which is 0.09 Thus it's not correct.