Question #188905

Solve for the confidence interval estimate of the population proportion.


Mikay conducted poll survey in which 520 of 1200 randomly selected voters indicated their preference for a certain candidate. What is the true population proportion of voters who prefer the candidate using 95% confidence interval?


1
Expert's answer
2021-05-07T12:01:54-0400

We have given that,


p=5201200=0.43p = \dfrac{520}{1200} = 0.43


Confidence interval can be given as,


CI=p±zp(1p)nCI = p \pm z \sqrt{\dfrac{p(1-p)}{n}}


CI=0.43±1.960.43×0.571200CI = 0.43 \pm 1.96 \sqrt{\dfrac{0.43 \times 0.57}{1200}}


CI=0.43±0.028CI = 0.43 \pm 0.028



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