In a survey question for a sample of 250 individuals, 120 persons gave response 'yes', 80 persons gave response 'no' and 50 gave 'no response'. The point estimate of the proportion in the population who responded 'yes' is:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 0.48
The point estimate of a population proportion is the sample proportion \(\hat{p} = \frac{x}{n}\), where x is the number of individuals in the sample with the characteristic and n is the sample size.
Here the sample has n = 250 individuals (all of them, including those who gave no response), and x = 120 said ‘yes’:
\( \displaystyle \hat{p} = \frac{120}{250} = 0.48 \)