In a survey of 1,000 people,420 are opposed to a particular tax increase.Construct a 95 percent confidence interval for the proportion of people in the population opposed to this tax increase.
A)[.394,.446]
B)[.389,.451]
C)[.380,.460]
D)[.399,.441]

Question

Quizplus · Accepted Answer

The sample proportion is 0.42. The standard error is calculated using the formula sqrt(p(1-p)/n), and the z-score for a 95% confidence interval is 1.96. The confidence interval is calculated as p ± z*SE, resulting in the interval [.389, .451].

In a Survey of 1,000 People,420 Are Opposed to a Particular