Question

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 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 𝛼 = 0.10. (a) What is the level of significance? State the null and alternate hypotheses. (b) What sampling distribution will you use? (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. (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level 𝛼? (e) Interpret your conclusion in the context of the application.

          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 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 𝛼 = 0.10.
(a)
What is the level of significance?
State the null and alternate hypotheses.
(b)
What sampling distribution will you use?
(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.
(d)
Based on your answers in parts (a) to (c), will you reject or
fail to reject the null hypothesis? Are the data statistically
significant at level 𝛼?
(e)
Interpret your conclusion in the context of the application.

Added by Claudia H.

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