Question

Conduct the following 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 (d) the P-value. Assume that the samples were obtained independently using simple random sampling. Test whether p1 does not equal p2. Sample data are x1 = 30, n1=254, x2 =38 and n2 =302.

Answer #1

(a) The null and alternative hypothesis

(b) Test statistic

where

n1=254, n2=302

= 0.1223

Q=1-P=0.8777

Therefore ,

= -0.28

**Thus, test statistic is**

**z=-0.28**

(c) At a=0.05 , two tailed critical value of z is

**zc = 1.96**

Since calculated value of z , IzI < 1.96 , critical value

We fail to reject H0

There is not sufficient evidence to conclude that p1 is not equal to p2

(d) **P value = 0.7795**

Since P value >0.05

We

fail to reject H0

There is not sufficient evidence to conclude that p1 is not equal to p2

Conduct the following test at the a=0.01 level of significance
by determining (a) the null and alternative hypotheses, (b) the
test statistic, and (c) the critical value. Assume that the
samples were obtained independently using simple random
sampling.Test whether p1≠p2. Sample data are x1=30, n1=254, x2=38
and n2=302.

Conduct the following test at the a=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=30, n1=254, x2=36, and
n2=301.

Conduct the following test at the a=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=30, n1 = 254, x2=36,
and n2=301

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by determining (a) the null and the alternative hypothesis, (b) the
test statistic, and (c) the critical value. Assuming 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=302.
(a) Determine the null and alternative hypothesis. Choose the
correct answer below.
( ) Ho:p1=p2 versus H1:p1?p2
( ) Ho:p1=p2 versus H1:p1>p2
( ) Ho:p1=p2 versus H1:p1
(b)...

Conduct a test at the α=0.05 level of significance by
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independently from a large population using simple random sampling.
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n1=254,x2=134, and n2=303. (a) Choose the correct null and
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A.
H0: p1=p2 Versus H1: p1
B.
H0: p1=p2 versus H1: p1≠p2
C.
H0: p1=0 versus H1: p1≠0
D.
H0:...

Conduct the following 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 that the samples
were obtained independently using simple random sampling.
Test whether p1≠p2. Sample data are x1=30, n1=254, x2=38, and
n2=302.
A. Determine the null and alternative hypotheses. Correct the
answer 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...

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=125, n1=243,x2=139,
and n2=307.
(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
D.H0: p1=p2 versus...

Conduct a test at the
α 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
p1>p2.
The sample data are x1=124,
n1=243,
x2=138,
and n2=316.

Conduct the following test at the a=0.10 level of significance
by determining (a) the null and alternative hypotheses, (b) the
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were obtained independently using simple random sampling.
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and n2=302.
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A. H0: p1=p2 versus H1:p1> p 2
B. H0:p1=p2 versus H1:p1< p 2
C. H0:p1=p2 versus...

Conduct a test at the a= 0.05 level of significance by
determining (a) the null and alternative hypotheses, (b) the
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B. Determine the Test Statistic. z0= ? (Round to two decimal
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C. Determine the P-Value = ? (Round to Three Decimal
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Please label answers B & C...

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