Suppose that in a recent poll of 900 adults between the ages of 35 and 45, 22% surveyed said theyhave 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 participatingin an extreme sport such as bungee jumping then choose the correct interpretation. (Round to thenearest tenth of a percent)
A)The population proportion of adults ages 35 to 45 who have thought about participating in anextreme sport such as bungee jumping is between 19.3% and 24.7%, with a confidence level of95%.
B)There is a 95% chance that the population of adults ages 35 to 45 who have thought aboutparticipating in an extreme sport such as bungee jumping is between 13.9% and 30.1%.
C)The population proportion of adults ages 35 to 45 who have thought about participating in anextreme sport such as bungee jumping is between 13.9% and 30.1%, with a confidence level of95%.

Question

Quizplus · Accepted Answer

The confidence interval is calculated as:sample proportion +/- margin of errorwhere the margin of error is:z * sqrt((sample proportion * (1 - sample proportion)) / sample size)where z is the z-score corresponding to the desired confidence level. For a 95% confidence level, z = 1.96.Plugging in the values, we get:0.22 +/- 1.96 * sqrt((0.22 * (1 - 0.22)) / 900)= 0.22 +/- 0.027= (0.193, 0.247)Therefore, 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 is (0.193, 0.247).

Suppose That in a Recent Poll of 900 Adults Between