Complete Question
Fewer young people are driving. In 1995, 63.9% of people under years 20 old who were eligible had a driver's license. Bloomberg reported that percentage had dropped to 41.7% in 2016. Suppose these results are based on a random sample 1,200 of people under 20 years old who were eligible to have a driver's license in 1995 and again in 2016.
a. At 95% confidence, what is the margin of error and the interval estimate of the number of eligible people under 20 years old who had a driver's license in 1995?
Margin of error(to four decimal places)
Interval estimate (to four decimal places)
b. At 95% confidence, what is the margin of error and the interval estimate of the number of eligible people under 20 years old who had a driver's license in 2016?
Margin of error(to four decimal places)
Interval estimate to (to four decimal places)
Answer:
a
b
Step-by-step explanation:
Considering question a
The sample proportion is 1995 is
The sample size is
From the question we are told the confidence level is 95% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of is
Generally the margin of error is mathematically represented as
=>
=>
Generally 95% Interval estimate is mathematically represented as
=>
=>
Considering question b
The sample proportion is 1995 is
The sample size is
From the question we are told the confidence level is 95% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of is
Generally the margin of error is mathematically represented as
=>
=>
Generally 95% Interval estimate is mathematically represented as
=>
=>