Question
In: Statistics and Probability
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.
Solutions
Expert Solution
Using the P-value approach: with z = 0.547 The p-value is p = 0.2923, and since p = 0.2923 ≥ 0.1, it is concluded that the null hypothesis is not rejected.
Conclusion
It is concluded that the null hypothesis Ho is not rejected. Therefore, there is not enough evidence to claim that the population proportion p1 is greater than p2, at the 0.1 significance level.
orchestra answered 2 years agoRelated Solutions
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.
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 hypothesis, (b) the
test statistic, and (c) the P-value. Assume that the samples were
obtained independently using simple random sampling.
Test whether p1 is not equal p2. Sample data are x1=30, n1=255,
x2=36, and n2=301
(a) Determine the null and alternative hypotheses.
A) H0: p1=p2 versus H1: p1<p2
B)H0: p1=0 versus H1: p1=0
C) H0: p1=p2 versus H1: p1 =/ (not equal) p2...
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
(c) the critical value. Assume that the samples were obtained
independently using simple random sampling.
Test whether p1≠p2. Sample data are x 1 = 28, n 1=
254, x 2 = 36, and n 2= 301
Conduct the following test at the alpha equals 0.10 level of significance by determining (a) the...
Conduct the following test at the alpha equals 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 p 1 not equals p 2. Sample data are x (1)
equals 30, n (1) equals 254, x (2) equals 36, and n (2) equals
302.
Conduct a test at the alpha equals 0.01 level of significance by determining (a) the null...
Conduct a test at the alpha 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 p 1 greater than p 2. The sample data are x
1 equals 125, n 1 equals 253, x 2 equals 135, and n 2 equals
309.
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 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:...
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 the following test at the alphaequals0.01 level of significance by determining (a) the null and...
Conduct the following 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
that the samples were obtained independently using simple random
sampling. Test whether p 1 not equals p 2. Sample data are x 1
equals 28, n 1 equals 254, x 2 equals 38, and n 2 equals 302.
(a) Determine the null and alternative hypotheses. Choose the
correct answer below. A. Upper H...
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