Question

In the upcoming election for governor, the most recent poll, based on 900 respondents, predicts that the incumbent will be reelected with 55 percent of the votes. What is σrhoˆ? .00825 .0166 .0247 .0003

Answer 1

Option B is correct.

0.0166 is correct.

Explanation:

The σrho is the standard error of the sample proportion and it is given as

σₓ = = √[p(1-p)/n]

where p = sample proportion = 55% = 0.55

n = sample size = 900

σₓ = = √(0.55×0.45/900) = 0.016583124 = 0.0166 to 3 s.f.

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