Suppose that in a recent poll of 1200 adults between the ages of 35 and 45, 38% surveyed said they have thought about getting elective plastic surgery. Find the 95% confidence interval for the proportion of adults ages 35 to 45 who have thought about getting elective plastic surgery then choose the correct interpretation. (Round to the nearest tenth of a percent)
A)The population proportion of adults ages 35 to 45 who have thought about getting elective plastic surgery is between 35.2% and 40.7%, with a confidence level of 95%.
B)There is a 95% chance that the population of adults ages 35 to 45 who have thought about getting elective plastic surgery is between 35.2% and 40.7%.
C)There is a 95% chance that the population of adults ages 35 to 45 who have thought about getting elective plastic surgery is between 28.5% and 47.5%.
D)The population proportion of adults ages 35 to 45 who have thought about getting elective plastic surgery is between 28.5% and 47.5%, with a confidence level of 95%.

Question

Quizplus · Accepted Answer

The correct confidence interval is calculated using the formula for a proportion confidence interval: p̂ ± Z*(√(p̂(1-p̂)/n)), where p̂ = 0.38, n = 1200, and Z = 1.96 for 95% confidence. This results in an interval of approximately 35.2% to 40.7%.

Suppose That in a Recent Poll of 1200 Adults Between