Conduct a 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 the samples were obtained independently from a large population using simple random sampling. Test whether p1>p2.
Conduct a 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 the samples were obtained independently from a large population using simple random sampling. Test whether p1>p2.
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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Conduct a 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 the samples were obtained independently from a large population using simple random sampling.Test whether
p1>p2.
The sample data are
x1=124,
n1=246,
x2=136,
and
n2=311.
(a) Choose the correct null and alternative hypotheses below.
H0: p1=p2
versus H1: p1<p2H0: p1=0
versus H1: p1≠0H0: p1=p2
versus H1: p1>p2H0: p1=p2
versus H1: p1≠p2(b) Determine the test statistic.
z0=nothing
(Round to two decimal places as needed.)(c) Determine the P-value.
The P-value is
nothing.
(Round to three decimal places as needed.)
What is the result of this hypothesis test?
Do not reject
the null hypothesis because there
is not
sufficient evidence to conclude that
p1<p2.
Do not reject the
null
hypothesis because there
is not
sufficient evidence to conclude that
p1≠p2.
Do not reject
the null hypothesis because there
is not
sufficient evidence to conclude that
p1>p2.
Reject
the null hypothesis because there
is
sufficient evidence to conclude that
p1<p2.
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