Question

Conduct the following test at the a = 0.05 level of significance by determining (a) the...

Conduct the following test at the a = 0.05 level of significance by determining (a) the null and alternative hypotheses (b) the test statistic (c) the critical value (d) the P-value. Assume that the samples were obtained independently using simple random sampling. Test whether p1 does not equal p2. Sample data are x1 = 30, n1=254, x2 =38 and n2 =302.

Homework Answers

Answer #1

(a) The null and alternative hypothesis

(b) Test statistic

where

n1=254, n2=302

= 0.1223

Q=1-P=0.8777

Therefore ,

= -0.28

Thus, test statistic is

z=-0.28

(c) At a=0.05 , two tailed critical value of z is

zc = 1.96

Since calculated value of z , IzI < 1.96 , critical value

We fail to reject H0

There is not sufficient evidence  to conclude that p1 is not equal to p2

(d) P value = 0.7795

Since P value >0.05

We

fail to reject H0

There is not sufficient evidence  to conclude that p1 is not equal to p2

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Conduct the following test at the a=0.01 level of significance by determining​ (a) the null and...
Conduct the following test at the a=0.01 level of significance by determining​ (a) the null and alternative​ hypotheses, (b) the test​ statistic, and​ (c) the critical value. Assume that the samples were obtained independently using simple random sampling.Test whether p1≠p2. Sample data are x1=30​, n1=254​, x2=38 and n2=302.
Conduct the following test at the a=0.10 level of significance by determining ​(a) the null and...
Conduct the following test at the a=0.10 level of significance by determining ​(a) the null and alternative​ hypotheses, ​(b) the test​ statistic, and​ (c) the​ P-value. Assume that the samples were obtained independently using simple random sampling. Test whether p1≠p2. Sample data are x1=30​, n1=254​, x2=36​, and n2=301.
Conduct the following test at the a=0.10 level of significance by determining ​ (a) the null...
Conduct the following test at the a=0.10 level of significance by determining ​ (a) the null and alternative​ hypotheses, ​(b) the test​ statistic, and​ (c) the​ P-value. Assume that the samples were obtained independently using simple random sampling. Test whether p1≠p2. Sample data are x1=30​, n1 = 254, x2=36​, and n2=301
Conduct the following test at the ?=0.05 level of significance by determining (a) the null and...
Conduct the following test at the ?=0.05 level of significance by determining (a) the null and the alternative hypothesis, (b) the test statistic, and (c) the critical value. Assuming that the samples were obtained independently using simple random sampling. Test whether p1?p2. Sample data are x1=28?, n1=255?, x2=36 and n2=302. (a) Determine the null and alternative hypothesis. Choose the correct answer below. ( ) Ho:p1=p2 versus H1:p1?p2    ( ) Ho:p1=p2 versus H1:p1>p2    ( ) Ho:p1=p2 versus H1:p1 (b)...
Conduct a test at the α=0.05 level of significance by determining (a) the null and alternative...
Conduct a test at the α=0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p 2p1>p2. The sample data are x1=118, n1=254,x2=134, and n2=303. (a) Choose the correct null and alternative hypotheses below. A. H0: p1=p2 Versus H1: p1 B. H0: p1=p2 versus H1: p1≠p2 C. H0: p1=0 versus H1: p1≠0 D. H0:...
Conduct the following test at the α=0.05 level of significance by determining ​(a) the null and...
Conduct the following test at the α=0.05 level of significance by determining ​(a) the null and alternative​ hypotheses, ​(b) the test​ statistic, and​ (c) the​ P-value. Assume that the samples were obtained independently using simple random sampling. Test whether p1≠p2. Sample data are x1=30​, n1=254​, x2=38​, and n2=302. A. Determine the null and alternative hypotheses. Correct the answer below: A. H0: p1 = p2 versus H1: p1≠p2 B.H0: p1=0 versus H1: p1=0 C.H0: p1=p2 versus H1: p1<p2 D.H0: p1= p2...
Conduct a test at the α=0.05 level of significance by determining (a) the null and alternative...
Conduct a test at the α=0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p1>p2. The sample data are x1=125, n1=243,x2=139, and n2=307. (a) Choose the correct null and alternative hypotheses below. A. H0: p1=p2 versus H1: p1>p2 B. H0: p1=0 versus H1: p1≠0 C. H0: p1=p2 Versus H1: p1 D.H0: p1=p2 versus...
Conduct a test at the α equals=0.01 level of significance by determining ​(a) the null and...
Conduct a test at the α equals=0.01 level of significance by determining ​(a) the null and alternative​ hypotheses, ​(b) the test​ statistic, and​ (c) the​ P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p1>p2. The sample data are x1=124​, n1=243​, x2=138​, and n2=316.
Conduct the following test at the a=0.10 level of significance by determining ​(a) the null and...
Conduct the following test at the a=0.10 level of significance by determining ​(a) the null and alternative​ hypotheses, ​(b) the test​ statistic, and​ (c) the​ P-value. Assume that the samples were obtained independently using simple random sampling. Test whether p1 ≠ p2. Sample data are x 1=28​, n1=54​, x2 =36​, and n2=302. a. Determine the null and alternative hypotheses. Choose the correct answer below. A. H0: p1=p2 versus H1:p1> p 2 B. H0:p1=p2 versus H1:p1< p 2 C. H0:p1=p2 versus...
Conduct a test at the alphaαequals=0.100.10 level of significance by determining ​(a) the null and alternative​...
Conduct a test at the alphaαequals=0.100.10 level of significance by determining ​(a) the null and alternative​ hypotheses, ​(b) the test​ statistic, and​ (c) the​ P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p1>p2. The sample data are x1=122​, n1=252​, x2=139​, and n2=304. B. Determine the test statistic. z0 = ? ​(Round to two decimal places as​ needed.) C. the critical value D. the P- value
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT