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 55 records of automobile driver fatalities in a certain county showed that 37 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 ? = 0.10.
(a) What is the level of significance? State the null and alternate hypotheses.
H0: p < 0.77; H1: p = 0.77
H0: p = 0.77; H1: p < 0.77
H0: p = 0.77; H1: p ? 0.77
H0: p = 0.77; H1: p > 0.77
What is the value of the sample test statistic? (Round your answer to two decimal places.)
(c) Find the P-value of the test statistic. (Round your answer to four decimal places.)
Sketch the sampling distribution and show the area corresponding to the P-value.
