Answer:
C. (0.17, 0.39)
Step-by-step 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.
