Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.
-A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confidence interval for the true proportion of all voters in the state who favor approval.
A) $0.438

Question

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.
-A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confidence interval for the true proportion of all voters in the state who favor approval. 
A) $0.438 < p < 0.505$
B) $0.444 < p < 0.500$
C) $0.471 < p < 0.472$
D) $0.435 < p < 0.508$

Quizplus · Accepted Answer

The sample proportion is $ \hat{p} = \frac{408}{865} \approx 0.471 $. Using the formula for a confidence interval for a proportion and a 95% confidence level, the interval is approximately $0.438 < p < 0.505$.

Use the Given Degree of Confidence and Sample Data to Construct