Suppose that in a recent poll of 900 adults between the ages of 35 and 45, 22% surveyed said they have thought about participating in an extreme sport such as bungee jumping. Find the 95% confidence interval for the proportion of adults ages 35 to 45 who have thought about participating in an extreme sport such as bungee jumping 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 participating in an extreme sport is between 13.9% and 30.1%, 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 participating in an extreme sport is between 13.9% and 30.1%.
C)There is a 95% chance that the population of adults ages 35 to 45 who have thought about participating in an extreme is between 19.3% and 24.7%.
D)The population proportion of adults ages 35 to 45 who have thought about participating in an extreme sport is between 19.3% and 24.7%, with a confidence level of 95%.

Question

Quizplus · Accepted Answer

The correct interpretation of a confidence interval is that we are 95% confident that the true population proportion falls within the interval. Option D correctly states this without implying that the probability applies to the population proportion itself, which is a common misconception.

Suppose That in a Recent Poll of 900 Adults Between