Question

Conduct a test at the alphaequals0.10 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 p 1 greater than p 2. The sample data are x 1 equals 123, n 1 equals 248, x 2 equals 141, and n 2 equals 312. (a) Choose the correct null and alternative hypotheses below. A. Upper H 0 : p 1 equals p 2 versus Upper H 1 : p 1 greater than p 2 B. Upper H 0 : p 1 equals 0 versus Upper H 1 : p 1 not equals 0 C. Upper H 0 : p 1 equals p 2 versus Upper H 1 : p 1 not equals p 2 D. Upper H 0 : p 1 equals p 2 versus Upper H 1 : p 1 less than p 2 (b) Determine the test statistic. z0equals 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? A. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p 1 greater than p 2. B. Reject the null hypothesis because there is sufficient evidence to conclude that p 1 less than p 2. C. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p 1 not equals p 2. D. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p 1 less than p 2.

Answer #1

a)

Below are the null and alternative Hypothesis,

Null Hypothesis, H0: p1 = p2

Alternate Hypothesis, Ha: p1 > p2

b)

p1cap = X1/N1 = 123/248 = 0.496

p1cap = X2/N2 = 141/312 = 0.4519

pcap = (X1 + X2)/(N1 + N2) = (123+141)/(248+312) = 0.4714

Test statistic

z = (p1cap - p2cap)/sqrt(pcap * (1-pcap) * (1/N1 + 1/N2))

z = (0.496-0.4519)/sqrt(0.4714*(1-0.4714)*(1/248 + 1/312))

z = 1.04

c)

P-value Approach

P-value = 0.149

d)

As P-value >= 0.1, fail to reject null hypothesis.

A. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p 1 greater than p 2

#7 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 255, x 2 equals 36, and n 2 equals 302.
(a) Determine the null and alternative hypotheses. Choose the
correct answer below. A. Upper...

16)Conduct the following test at the alphaequals0.05 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 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 301.
(a) Determine the null and alternative hypotheses. Choose the
correct answer below. A. Upper H...

Conduct the following 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 that the samples
were obtained independently using simple random sampling.
Test whether p1≠p2. Sample data are x 1 = 28, n 1 = 255, x 2 =
38, and n 2 = 301.
(a) Determine the null and alternative hypotheses. Choose the
correct answer below.
A.
Upper H 0 : p 1 equals...

Conduct the following test at the
alphaαequals=0.010.01
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 2p1≠p2.
Sample data are
x 1 equals 30x1=30,
n 1 equals 254n1=254,
x 2 equals 38x2=38,
and
n 2 equals 302n2=302.
(a) Determine the null and alternative hypotheses. Choose the
correct answer below.
A.
Upper H 0...

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 P-value. Assume that the samples were
obtained independently using simple random sampling.
Test whether P1 not equals P2. Sample data are x1=28, n1= 255,
x2=38 and n2=302
(a) Determine the null and alternative hypotheses. Choose the
correct answer.
a. ho:p1=0 versus h1:p1=0 B. Ho:P1=p2 versus H1:P1>P2 c.
Ho:P1=P2 verses H1:p1<P2 D. Ho:P1=P2verses Hi:P1 =/P2
(B) the...

Conduct a test at the
alphaαequals=0.050.05
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 1 greater than p 2p1>p2.
The sample data are
x 1 equals 116x1=116,
n 1 equals 243n1=243,
x 2 equals 138x2=138,
and
n 2 equals 303n2=303.
(a) Choose the correct null and alternative hypotheses
below.
A.
Upper H 0...

Conduct a test at the
alphaαequals=0.100.10
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
p 1 greater than p 2p1>p2.
The sample data are
x 1 equals 121x1=121,
n 1 equals 249n1=249,
x 2 equals 137x2=137,
and
n 2 equals 314n2=314.
(a) Choose the correct null and alternative hypotheses
below.
A.
Upper H 0...

Conduct the following test at the α=0.01 level of significance
by determining (a) the null and alternativehypotheses, (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=302.
(a) Determine the null and alternative hypotheses. Choose the
correct answer below.
A. H0: p1=0 versus H1: p1=0
B. H0: p1=p2 versus H1: p1<p2
C. H0: p1=p2 versus H1: p1>p2
D. H0: p1=p2...

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
alphaαequals=0.100.10
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
p 1 greater than p 2p1>p2.
The sample data are
x 1 equals 118x1=118,
n 1 equals 256n1=256,
x 2 equals 144x2=144,
and
n 2 equals 319n2=319.
(a) When comparing two population proportions, the null
hypothesis is a statement...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 15 minutes ago

asked 15 minutes ago

asked 17 minutes ago

asked 19 minutes ago

asked 24 minutes ago

asked 28 minutes ago

asked 36 minutes ago

asked 40 minutes ago

asked 46 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago