Conduct a test at the a = 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, >p2. The sample data are x, = 120, n, = 254, x, = 140, and n, = 305.
Conduct a test at the a = 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, >p2. The sample data are x, = 120, n, = 254, x, = 140, and n, = 305.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Conduct a test at the a = 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, >P2. The sample data are x, = 120, n, = 254, x, = 140, and n, = 305.
Transcribed Image Text:(a) Choose the correct null and alternative hypotheses below.
A. Ho: P1 = P2 versus H, : p, #P2
B. Ho: P, = P2 versus H,: P1 <P2
Cc. Ho: P, = P2 versus H,: P1 > P2
D. Ho: P, =0 versus H,: p, #0
(b) Determine the test statistic.
Zo = 2 (Round to two decimal places as needed.)
(c) Determine the P-value.
The P-value is o012
(Round to three decimal places as needed.)
What is the result of this hypothesis test?
A. Do not reject the alternative hypothesis because there is sufficient evidence to conclude that p, # p2.
B. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p, <P2.
c. Reject the null hypothesis because there is sufficient evidence to conclude that p, >P2.
D. Reject the null hypothesis because there is sufficient evidence to conclude that p, <p,.
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