In: Statistics and Probability
An insurance company checks police records on 559 accidents selected at random and notes that teenagers were at the wheel in 82 of them. Complete parts a) through d).
a) Construct the 95% confidence interval for the percentage of all auto accidents that involve teenage drivers.
95% CI = ( ___________ %, _________ % )
(Round to one decimal place as needed.)
b) Explain what your interval means.
c) Explain what "95% confidence" means.
About 95% of random samples of size 559 will produce (1) __________ that contain(s) the (2) _________ of accidents involving teenagers.
d) A politician urging tighter restrictions on drivers' licenses issued to teens says, "In one of every five auto accidents, a teenager is behind the wheel." Does the confidence interval support or contradict this statement?
(1)
(2)
It's believed that as many as 22% of adults over 50 never graduated from high school. We wish to see if this percentage is the same among the 25 to 30 age group. What sample size would allow us to increase our confidence level to 95% while reducing the margin of error to only 2%?
n=____________ (Round up to the nearest integer.)