An April 2016 opinion poll asked 1,190 adults what they felt the most pressing problem facing the country was, and 476 replied that economic problems in general were the most pressing problem. The sample should be considered as a simple random sample from the population of all adults. Based on the results of this poll, which of these is an approximately 95 percent confidence interval for the proportion of all adults who would reply that economic problems are the most pressing of those facing the country?

Question

Quizplus · Accepted Answer

The 95% confidence interval for a proportion is calculated using the formula: p ± Z * sqrt(p(1-p)/n), where p is the sample proportion, Z is the Z-score for 95% confidence (approximately 1.96), and n is the sample size. Here, p = 476/1190 = 0.40, and n = 1190. The margin of error is approximately 0.0285.

An April 2016 Opinion Poll Asked 1,190 Adults What They