Question

10.2.19-TI Assigned Media Question Help According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.37. Suppose a random sample of 109 traffic fatalities in a certain region results in 50 that involved a positive BAC Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the a=0.01 level of significance? less than 5% of the population size, and the sample is given to be random the requirements for Because np. (1 - Po) = 25.4 > 10, the sample size is testing the hypothesis are satisfied (Round to one decimal place as needed.) What are the null and alternative hypotheses? Но versus H. (Type integers or decimals. Do not round. Enter your answer in the edit fields and then click Check Answer

Answer 1

Answer:

n= 109, x= 50, P = 0.37, $//img.homeworklib.com/questions/32a49420-7e16-11eb-8fd5-dd11252a8d29.png?x-oss-process=image/resize,w_560$ = 0.01

because npo( 1 - po) = 25.4 > 10, sample size is less than 5% of the population size, and the sample is given to be random, he requirement for testing the hypothesis are satisfied.

The null and alternative hypothesis is

Ho: P = 0.37

H1: P > 0.37

formula for test statistics is

P-P p*(1-P) n

$z = \frac{0.4587 - 0.37 }{ \sqrt{\frac{0.37 * ( 1 - 0.37 )}{109}}}$

test statistics is

Zo = 1.92

calculate P-Value

P-Value = 1 -P(z < 1.92 )

using z table we get

P(z < 1.92) = 0.9726

P-Value = 1 - 0.9726

P-Value = 0.027

decision rule is

Reject Ho if ( P-value ) $//img.homeworklib.com/questions/338e77f0-7e16-11eb-b1c4-5558091ececd.png?x-oss-process=image/resize,w_560$ ( $//img.homeworklib.com/questions/33db7670-7e16-11eb-90d6-0373e09f677c.png?x-oss-process=image/resize,w_560$ )

here, ( P-value= 0.027 ) > ( $//img.homeworklib.com/questions/343229e0-7e16-11eb-a566-7b419e878151.png?x-oss-process=image/resize,w_560$ = 0.01)

Hence, we can say,

B) Since, P-Value > $//img.homeworklib.com/questions/33db7670-7e16-11eb-90d6-0373e09f677c.png?x-oss-process=image/resize,w_560$, do not reject null hypothesis and conclude that there is not sufficient evidence that the region has a higher proportion of traffic fatalities involving BAC than the country.