The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 54 records of automobile driver fatalities in a certain county showed that 34 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use ? = 0.01.   Recall that in a binomial experiment with n trials, where p is the population probability of success and  q = 1 − p  is the population probability of failure, the standard normal approximation to the binomial distribution is appropriate if both  np > 5  and  nq > 5. We are given a population probability of 77%, so p = 0.77, and a sample size of n = 54 records of automobile driver fatalities. Use these values to compute np and nq rounded to two decimal places.   np= 54 ( X ) =X nq= 54 (1-X) =X Because both np and nq  ---Select--- are are not  greater than 5, we  ---Select--- can cannot  use the normal approximation to the binomial distribution.

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The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 54 records of automobile driver fatalities in a certain county showed that 34 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use ? = 0.01.

 

Recall that in a binomial experiment with trials, where is the population probability of success and 
q = 1 − p
 is the population probability of failure, the standard normal approximation to the binomial distribution is appropriate if both 
np > 5
 and 
nq > 5.
We are given a population probability of 77%, so p = 0.77, and a sample size of n = 54 records of automobile driver fatalities. Use these values to compute np and nq rounded to two decimal places.
 
np= 54 ( X )
=X
nq= 54 (1-X)
=X

Because both np and nq  ---Select--- are are not  greater than 5, we  ---Select--- can cannot  use the normal approximation to the binomial distribution.
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