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.
orchestra answered 1 year agoRelated Solutions
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determining (a) the null and alternative hypotheses, (b) the
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obtained independently from a large population using simple random
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obtained independently from a large population using simple random
sampling.Test whether p1 > p2. The sample data are x1=118,
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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.
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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.
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