Question

In: Statistics and Probability

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=118​, n1=251​, x2=144​, and n2=312.

​(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>p2

D. H0: p1=p2 versus H1: p1≠p2

​(b) Determine the test statistic.

z0= _______(Round to two decimal places as​ needed)

(c) Determine the​ P-value.

The​ P-value is__ ​(Round to three decimal places as​ needed.)

d) What is the result of this hypothesis​ test?

A. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p1>p2.

B. Reject the null hypothesis because there is sufficient evidence to conclude that p1<p2.

C. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p1<p2.

D.Do not reject the null hypothesis because there is not sufficient evidence to conclude that p1≠p2.

Solutions

Expert Solution

Zo = 0.20

p-value = 0.421 (from z-table)

since p-value > 0.05, do not reject Ho

A. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p1>p2.


Related Solutions

Conduct a test at the a = 0.05 level of significance by determining (a) the null...
Conduct a 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, and (d) the P-value. Assume that the samples were obtained independently using simple random sampling. 1. Test whether p1 is not equal to p2. Sample data: x1 = 804, n1 = 874, x2 = 902, n2 = 954
Conduct a test at the alphaequals0.05 level of significance by determining ?(a) the null and alternative?...
Conduct a test at the alphaequals0.05 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 1 greater than p 2. The sample data are x 1 equals 117?, n 1 equals 243?, x 2 equals 138?, and n 2 equals 303.
Conduct a test at the alphaequals0.05 level of significance by determining ​(a) the null and alternative​...
Conduct a test at the alphaequals0.05 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 1 greater than p 2. The sample data are x 1 equals 125​, n 1 equals 247​, x 2 equals 132​, and n 2 equals 312. ​(a) Choose the correct null and alternative hypotheses below. A. Upper H...
Conduct a test at the alphaequals0.05 level of significance by determining ?(a) the null and alternative?...
Conduct a test at the alphaequals0.05 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 1 greater than p 2. The sample data are x 1 equals 124?, n 1 equals 257?, x 2 equals 141?, and n 2 equals 318.
Conduct a test at the a=0.01 level of significance by determining ​(a) the null and alternative​...
Conduct a test at the a=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=116, n1= 252​,x2=142​, and n2=303. a. Choose the correct null and alternative hypotheses below. A. H0: p1= p 2 versus H1: p1 > p 2 B. H0 : p1=p2 versus H1: p1≠p2 C. H0:...
Conduct a test at the alphaequals0.01 level of significance by determining ​(a) the null and alternative​...
Conduct a test at the alphaequals0.01 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 p 1 greater than p 2. The sample data are x 1 equals 126​, n 1 equals 241​, x 2 equals 131​, and n 2 equals 302. ​(a) Choose the correct null and alternative hypotheses below. A. Upper H...
Conduct a test at the α equals=0.10 level of significance by determining ​(a) the null and...
Conduct a test at the α equals=0.10 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=118​, n1=249​, x2=142​, and n2=315.
Conduct the following test at the α=0.01 level of significance by determining ​(a) the null and...
Conduct the following test at the α=0.01 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=28​, n1=254​, x2=36​,and n2=302. ​(a) Determine the null and alternative hypotheses. Choose the correct answer below. A. H0: p1=p2 versus H1: p1>p2 B. H0: p1=p2 versus H1: p1<p2 C. H0: p1=p2 versus H1: p1≠p2 D. H0: p1=0...
Conduct the following test at the α=0.01 level of significance by determining ​(a) the null and...
Conduct the following test at the α=0.01 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=28​, n1=254​, x2=36​,and n2=302. ​(a) Determine the null and alternative hypotheses. Choose the correct answer below. A. H0: p1=p2 versus H1: p1>p2 B. H0: p1=p2 versus H1: p1<p2 C. H0: p1=p2 versus H1: p1≠p2 D. H0: p1=0...
Conduct the following test at the α =0.10 level of significance by determining ​(a) the null...
Conduct the following test at the α =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=28 n1=255​, x2=36​, and n2=301.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT