Question

question 3 of 10
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. (0.16, 0.38)
b. (0.15, 0.37)
c. (0.17, 0.39)
d. (0.14, 0.36)

Explanation:

A confidence interval for a population proportion should be centered around the sample proportion (0.28). We check the midpoint of each option:

• A: Midpoint = (0.16 + 0.38)/2 = 0.27
• B: Midpoint = (0.15 + 0.37)/2 = 0.26
• C: Midpoint = (0.17 + 0.39)/2 = 0.28
• D: Midpoint = (0.14 + 0.36)/2 = 0.25

Only option C has a midpoint equal to the sample proportion 0.28, making it the most likely range for the population parameter estimate.

Answer:

C. (0.17, 0.39)