PLEASE ANSWER QUESTION D Q2) New Drivers: An Insurance company check police records of 582 accidents selected at random and notes that teenagers were at the wheel in 91 of them.
PLEASE ANSWER QUESTION D
Q2) New Drivers: An Insurance company check police records of 582 accidents selected at random and notes that teenagers were at the wheel in 91 of them.
a)Create a 95% confidence interval for the percentage of all auto accidents that involve teenage drivers.
P=911582 =0.156
à 0.156 +/- 2 square root of (01156°1-0.156) 582)
= 0.156 +1-2 (0.0150)
=0.126 to 0.186 => 12.6% to 18.6%
b) Explain what your interval means.
We are 95% confident that the true proportion of teenagers killed in car accidents is between 12.6% and 18.6%.
C) Explain what “95% confidence” means.
The level of confidence indicates how certain you are. It is expressed as a percentage and indicates how frequently the true percentage of the population who would choose an answer falls within the confidence interval. The 95% confidence level indicates that you can be 95% certain.
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 your confidence interval support or contradict this statement? Explain.
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