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 53 records of automobile driver fatalities in Kit Carson County, Colorado, showed that 36 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 = 0.05.

Solve the problem using both the critical region method and the P-value method. Since the sampling distribution of is the normal distribution, you can use critical values from the standard normal distribution.

(Round any intermediate calculations to at least four decimal places. Round the test statistic and critical value to two decimal places. Round the P-value to four decimal places.)