A random sample of 100 voters found that 46% were going to vote for a certain candidate. Find the 95% limit for the population proportion of voters who will vote for that candidate.
A) 36.2%

Question

A random sample of 100 voters found that 46% were going to vote for a certain candidate. Find the 95% limit for the population proportion of voters who will vote for that candidate.
A) 36.2% < p < 55.8%
B) 37.0% < p < 55.0%
C) 37.8% < p < 54.2%
D) 41.1% < p < 50.9%

Quizplus · Accepted Answer

The 95% confidence interval for the population proportion is:0.46 +/- 1.96 * sqrt(0.46 * 0.54 / 100) = 0.46 +/- 0.099 = (0.362, 0.558)

A Random Sample of 100 Voters Found That 46% Were