Do Homework- Cammi Stratman - Google Chrome Secure | https://www.mathxl.com yerH

Question

Do Homework- Cammi Stratman - Google Chrome Secure | https://www.mathxl.com yerHomework.aspx?homeworkld=44 1 953485&questionld; = 2 1 &flushed; =true&cld; =4634967&centerwin; =yes MAT 115-ZA Elementary Statistics Fall 2017 Cammi Stratman 12/10/17 8:25 PM Homework: Final Exam Review Score: 0 of 1 pt 9.2.7-T save 11 of 21 (15 complete) HW Score: 38.13%, 8.01 of 21 pts Question Help A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 323 people over the age of 55, 64 dream in black and white, and among 292 people under the age of 25, 19 dream in black and white. Use a 0.05 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25 Complete parts (a) through (c) below a. Test the claim using a hypothesis test Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test? Oc. Ho P1P2 H1 : p1 #p2 D. Ho: p12 H1 P1 P2 H1 : p1 #p2 0 E. Ho:p1=p2 H1 P1 P2 OF, Ho:p1=p2 H1 P1 P2 Click to select your answer and then click Check Answer parts remaining Clear Al Check Answer 8-25 PM O Type here to search ^12/10/2017

Explanation / Answer

9.2.7

Given that,
sample one, x1 =55, n1 =323, p1= x1/n1=0.17
sample two, x2 =25, n2 =292, p2= x2/n2=0.09
null, Ho: p1 = p2
alternate, H1: p1 > p2
level of significance, = 0.05
from standard normal table,right tailed z /2 =1.64
since our test is right-tailed
reject Ho, if zo > 1.64
we use test statistic (z) = (p1-p2)/(p^q^(1/n1+1/n2))
zo =(0.17-0.09)/sqrt((0.13*0.87(1/323+1/292))
zo =3.12
| zo | =3.12
critical value
the value of |z | at los 0.05% is 1.64
we got |zo| =3.117 & | z | =1.64
make decision
hence value of | zo | > | z | and here we reject Ho
p-value: right tail - Ha : ( p > 3.1167 ) = 0.00091
hence value of p0.05 > 0.00091,here we reject Ho
ANSWERS
---------------
null, Ho: p1 = p2
alternate, H1: p1 > p2
test statistic: 3.12
critical value: 1.64
decision: reject Ho
p-value: 0.00091

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

---

---

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