The U.S. Department ofTransortatie, National Higtway Trafic Safety Administratio

Question

The U.S. Department ofTransortatie, National Higtway Trafic Safety Administration, reported that 77% all Tatally injured autoob le drivers were intoxicated. A random sampleo 55 records uf automobile driver felalities in a certain county showed that 35 involved an intoxicated driver. Do thesc d ta indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use -0.05. (a) What is the level of significarie? State the null and altemate hypothese8. b) what sampling stibution willyou use? The 5tudant'st, since np > 5 nd ng > 5. Tha standard normal, since no 5 and nq 5. The stendard "ormal, since rw > 5 dndriq > S what is the value of the sample test statisic (Round your anewer to two desimal places.) 229 x c) Find the p value ofthe test statistic. (Round your answer to tour decimal places.

Explanation / Answer

Alternative Hypothesis:
p > p(hyp)

Sample proportion: p =35/55 = 0.6363636
Test Statistic, z:=p-p(hyp)/sqrt(p(hyp)*(1-p(hyp)/n)

= -2.3550

   = -2.36
P-Value: 0.9907 (right tailed from standard normal table p(z> -2.3550)=0.9907)

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