3) In a recent survey of drinking laws, a random sample of 1000 women showed tha

Question

3) In a recent survey of drinking laws, a random sample of 1000 women showed that 75% were in favor of increasing the le gal drinking age. In a random sample of 1000 men, 60% favored increasing the legal drinking age. Test the hypothesis that the percenta . Claim: - Opposite: ge of men and women favoring a higher legal drinking age is the same. Use -0.05. Null Hypothesis, Ho: Alternative Hypothesis, HI - significance level a - Value of Test Statistic for sample: - Critical Value(s) or P-Value - Statistical Conclusion: -Conclusion:

Explanation / Answer

Given that,
sample one, x1 =750, n1 =1000, p1= x1/n1=0.75
sample two, x2 =60, n2 =1000, p2= x2/n2=0.06
null, Ho: p1 = p2
alternate, H1: p1 != p2
level of significance, = 0.05
from standard normal table, two tailed z /2 =1.96
since our test is two-tailed
reject Ho, if zo < -1.96 OR if zo > 1.96
we use test statistic (z) = (p1-p2)/(p^q^(1/n1+1/n2))
zo =(0.75-0.06)/sqrt((0.405*0.595(1/1000+1/1000))
zo =31.43
| zo | =31.43
critical value
the value of |z | at los 0.05% is 1.96
we got |zo| =31.43 & | z | =1.96
make decision
hence value of | zo | > | z | and here we reject Ho
p-value: two tailed ( double the one tail ) - Ha : ( p != 31.4303 ) = 0
hence value of p0.05 > 0,here we reject Ho
ANSWERS
---------------
null, Ho: p1 = p2
alternate, H1: p1 != p2
test statistic: 31.43
critical value: -1.96 , 1.96
decision: reject Ho
p-value: 0

concludsion: we have evidence that the percentage of men and women favouring
a higher legal drinking age is the same b/w both

Related Questions

Navigate

• Browse (All)
• Browse 3
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.