Question

Among 400 randomly selected drivers in the 16 minus 18 age​ bracket, 293 were in a car crash in the last year. If a driver in that age bracket is randomly​ selected, what is the approximate probability that he or she will be in a car crash during the next​ year? Is it unlikely for a driver in that age bracket to be involved in a car crash during a​ year? Is the resulting value high enough to be of concern to those in the 16 minus 18 age​ bracket? Consider an event to be​ "unlikely" if its probability is less than or equal to 0.05.

Answer 1

Answer:

The approximate probability is 0.7325.

Is not unlikely that a driver in that age bracket is involved in a car crash during a​ year, so there are reasons to be concerned.

Step-by-step explanation:

The approximate probability can be estimated using the sample proportion:

$p=\dfrac{X}{n}=\dfrac{293}{400}=0.7325$

A probability of 0.7325 is high, so it is not unlikely that a driver in that age bracket is involved in a car crash during a​ year.

As this value is high, there is reasons to be concerned about it.