Question

You wish to test the following claim (Ha) at a significance
level of α=0.01

Ho:p1=p2

Ha:p1>p2

You obtain 68.9% successes in a sample of size n1=685 from the first population. You obtain 60.9% successes in a sample of size n2=693 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)

What is the p-value for this sample? (Report answer accurate to
four decimal places.)

Answer #1

The statistical software output for this problem is :

Test statistics = 3.110

P-value = 0.0009

You wish to test the following claim (HaHa) at a significance
level of α=0.01α=0.01.
Ho:p1=p2Ho:p1=p2
Ha:p1>p2Ha:p1>p2
You obtain 71 successes in a sample of size n1=715n1=715 from the
first population. You obtain 34 successes in a sample of size
n2=679n2=679 from the second population. For this test, you should
NOT use the continuity correction, and you should use the normal
distribution as an approximation for the binomial
distribution.
What is the test statistic for this sample? (Report answer accurate
to...

You wish to test the following claim (Ha) at a significance
level of α=0.002.
Ho:p1=p2, Ha:p1≠p2 You obtain 344 successes in a sample of size
n1=510 from the first population. You obtain 169 successes in a
sample of size n2=216from the second population. For this test, you
should NOT use the continuity correction, and you should use the
normal distribution as an approximation for the binomial
distribution.
What is the z-score of the critical value? (Report answers
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You wish to test the following claim (HaHa) at a significance
level of α=0.02α=0.02.
Ho:p1=p2Ho:p1=p2
Ha:p1≠p2Ha:p1≠p2
You obtain 211 successes in a sample of size n1=471n1=471 from the
first population. You obtain 205 successes in a sample of size
n2=475n2=475 from the second population. For this test, you should
NOT use the continuity correction, and you should use the normal
distribution as an approximation for the binomial
distribution.
What is the test statistic for this sample? (Report answer accurate
to...

You wish to test the following claim (HaHa) at a significance
level of α=0.05α=0.05.
Ho:p1=p2Ho:p1=p2
Ha:p1<p2Ha:p1<p2
You obtain 92.6% successes in a sample of size n1=759n1=759 from
the first population. You obtain 96.3% successes in a sample of
size n2=269n2=269 from the second population. For this test, you
should NOT use the continuity correction, and you should use the
normal distribution as an approximation for the binomial
distribution.
What is the test statistic for this sample? (Report answer accurate
to...

You wish to test the following claim (HaHa) at a significance
level of α=0.02α=0.02.
Ho:p1=p2Ho:p1=p2
Ha:p1>p2Ha:p1>p2
You obtain 57.5% successes in a sample of size n1=228n1=228 from
the first population. You obtain 45.7% successes in a sample of
size n2=433n2=433 from the second population. For this test, you
should NOT use the continuity correction, and you should use the
normal distribution as an approximation for the binomial
distribution.
What is the critical value for this test? (Report answer accurate
to...

You wish to test the following claim (HaHa) at a significance
level of α=0.02α=0.02.
Ho:p1=p2Ho:p1=p2
Ha:p1<p2Ha:p1<p2
You obtain a sample from the first population with 228 successes
and 482 failures. You obtain a sample from the second population
with 96 successes and 134 failures. For this test, you should NOT
use the continuity correction, and you should use the normal
distribution as an approximation for the binomial
distribution.
What is the test statistic for this sample? (Report answer accurate
to...

You wish to test the following claim (HaHa) at a significance
level of α=0.01α=0.01.
Ho:p1=p2Ho:p1=p2
Ha:p1≠p2Ha:p1≠p2
You obtain 26.5% successes in a sample of size n1=686n1=686 from
the first population. You obtain 34.9% successes in a sample of
size n2=476n2=476 from the second population. For this test, you
should NOT use the continuity correction, and you should use the
normal distribution as an approximation for the binomial
distribution.
What is the test statistic for this sample? (Report answer accurate
to...

You wish to test the following claim (HaHa) at a significance
level of α=0.10.
Ho:p1=p2
Ha:p1>p2
You obtain 84 successes in a sample of size n1=556 from the first
population. You obtain 73 successes in a sample of size n2=725 from
the second population. For this test, you should NOT use the
continuity correction, and you should use the normal distribution
as an approximation for the binomial distribution.
What is the test statistic for this sample? (Report answer accurate
to...

You wish to test the following claim (Ha) at a significance
level of α=0.001.
Ho:p1=p2
Ha:p1<p2
You obtain 421 successes in a sample of size n1=684 from the first
population. You obtain 409 successes in a sample of size n2=589
from the second population. For this test, you should NOT use the
continuity correction, and you should use the normal distribution
as an approximation for the binomial distribution.
What is the critical value for this test? (Report answer...

You wish to test the following claim (Ha) at a significance
level of α=0.10.
Ho:p1=p2
Ha:p1>p2
You obtain 291 successes in a sample of size n1=383 from the first
population. You obtain 256 successes in a sample of size n2=392
from the second population. For this test, you should NOT use the
continuity correction, and you should use the normal distribution
as an approximation for the binomial distribution.
What is the test statistic for this sample? (Report answer...

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