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.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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.
Because both np and nq ---Select--- are are not greater than 5, we ---Select--- can cannot use the normal approximation to the binomial distribution.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps