Suppose that in a recent poll of 1200 adults Suppose that in a recent poll of 1200 adults between the ages of 35 and 45, 38% surveyed said theyhave thought about getting elective plastic surgery. Find the 95% confidence interval for theproportion of adults ages 35 to 45 who have thought about getting elective plastic surgery thenchoose 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 electiveplastic 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 aboutgetting 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 aboutgetting 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 electiveplastic surgery is between 28.5% and 47.5%, with a confidence level of 95%.

Question

Suppose that in a recent poll of 1200 adults Suppose that in a recent poll of 1200 adults between the ages of 35 and 45, 38% surveyed said theyhave thought about getting elective plastic surgery. Find the 95% confidence interval for theproportion of adults ages 35 to 45 who have thought about getting elective plastic surgery thenchoose 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 electiveplastic 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 aboutgetting 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 aboutgetting 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 electiveplastic surgery is between 28.5% and 47.5%, with a confidence level of 95%.

Quizplus · Accepted Answer

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

Suppose That in a Recent Poll of 1200 Adults Suppose