In Erercises 12.106 - 12.111, use either the critical-value approach or the P-va
ID: 3066872 • Letter: I
Question
In Erercises 12.106 - 12.111, use either the critical-value approach or the P-value approach to perform the required hypothesis test. 12.110 Ballistic Fingerprinting. Guns make unique markings on bullets they fire and their shell casings. These markings are called ballistic fingerprints. An ABCNEWS Poll examined the opinions of Americans on the enactment of a law ". . . that would require every gun sold in the United States to be test-fired first so law enforcement would have its fingerprint in case it were ever used in a crime." The following problem is based on the results of that pl Independent simple random samples were taken of 537 women and 495 men. When asked whether they support a ballistic fingerprinting law, 446 of the women and 307 of the men said yes." At the 1% significance level, do the data provide sufficient evidence to conclude that women tend to favor ballistic fingerprinting more than men? In Erercises 12.112 - 12.117, apply Procedure 12.4 on page 566 to find the reguired confidence interval 12.116 Ballistic Fingerprinting. Refer to Exercise 12.110 and find ald interpret a 98% confidence interval for the difference between the percentages of women and men who favor ballistic fingerprintingExplanation / Answer
Given that,
sample one, x1 =446, n1 =537, p1= x1/n1=0.831
sample two, x2 =307, n2 =495, p2= x2/n2=0.62
null, Ho: p1 = p2
alternate, H1: p1 > p2
level of significance, ? = 0.01
from standard normal table,right tailed z ?/2 =2.326
since our test is right-tailed
reject Ho, if zo > 2.326
we use test statistic (z) = (p1-p2)/?(p^q^(1/n1+1/n2))
zo =(0.831-0.62)/sqrt((0.73*0.27(1/537+1/495))
zo =7.601
| zo | =7.601
critical value
the value of |z ?| at los 0.01% is 2.326
we got |zo| =7.601 & | z ? | =2.326
make decision
hence value of | zo | > | z ?| and here we reject Ho
p-value: right tail - Ha : ( p > 7.6006 ) = 0
hence value of p0.01 > 0,here we reject Ho
ANSWERS
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null, Ho: p1 = p2
alternate, H1: p1 > p2
test statistic: 7.601
critical value: 2.326
decision: reject Ho
p-value: 0
women data tend to favor ballistic fingerprinting more than men