automobile drivers were intoxicated. A random sample of icate that the populatio

Question

automobile drivers were intoxicated. A random sample of icate that the population proportion of driver fatalities related National highway Tramc safety Administration, reported that 77% o, am fatally injured automobile drivers were intoxicated. A random The U.S. Department of Tr 55 records of automobile driver fatalities in a certain county showed that 36 involved an intoxicated driver. Do these data ind to alcohol is less than 77% in Kit Carson County? Use a " 0.10 a (a) What is the level of signincae? State the null and alternate hypotheses ” Ho: p-0.77; HI, p 5 and no> 5 e The standard normal, since np > 5 and nq> s. The standard normal, since np

Explanation / Answer

1) a) level of significance=0.1

p=0.77 ; n=55

std error =(p(1-p)/n)1/2 =0.0567

phat=36/55=0.6546

b) test stat =(phat-p)/std error =-2.03

c) p value =0.9766

2)

a) level of significance=0.01

p=0.5 ; n=37

std error =(p(1-p)/n)1/2 =0.0822

phat=11/37=0.2973

b) test stat =(phat-p)/std error =-2.47

c) p value =0.0084

3)

a) level of significance=0.01

p=0.47 ; n=1007

std error =(p(1-p)/n)1/2 =0.0157

phat=483/1007=0.4796

b) test stat =(phat-p)/std error =0.61

c) p value =0.2712

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