Question
In: Statistics and Probability
You wish to test the following claim (H1H1) at a significance level of α=0.005α=0.005. Ho:p1=p2Ho:p1=p2 H1:p1>p2H1:p1>p2...
You wish to test the following claim (H1H1) at a significance
level of α=0.005α=0.005.
Ho:p1=p2Ho:p1=p2
H1:p1>p2H1:p1>p2
You obtain a sample from the first population with 334 successes
and 359 failures. You obtain a sample from the second population
with 240 successes and 359 failures.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value =
The p-value is...
- less than (or equal to) αα
- greater than αα
This test statistic leads to a decision to...
- reject the null
- accept the null
- fail to reject the null
As such, the final conclusion is that...
- There is sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion.
- There is not sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion.
- The sample data support the claim that the first population proportion is greater than the second population proportion.
- There is not sufficient sample evidence to support the claim that the first population proportion is greater than the second population proportion.
Solutions
orchestra answered 1 year agoRelated Solutions
You wish to test the following claim (H1H1) at a significance level of α=0.01 Ho:p1=p2Ho:p1=p2 H1:p1...
You wish to test the following claim (H1H1) at a significance
level of α=0.01
Ho:p1=p2Ho:p1=p2
H1:p1
You obtain 52.4% successes in a sample of size n1=563 from the
first population. You obtain 53.8% successes in a sample of size
n2=797 from the second population.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value =
The p-value...
You wish to test the following claim (H1H1) at a significance level of α=0.02α=0.02. Ho:p1=p2Ho:p1=p2 H1:p1>p2H1:p1>p2...
You wish to test the following claim (H1H1) at a significance
level of α=0.02α=0.02.
Ho:p1=p2Ho:p1=p2
H1:p1>p2H1:p1>p2
You obtain 113 successes in a sample of size n1=450n1=450 from the
first population. You obtain 91 successes in a sample of size
n2=399n2=399 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 (H1H1) at a significance level of α=0.10α=0.10. Ho:p1=p2Ho:p1=p2 H1:p1≠p2H1:p1≠p2...
You wish to test the following claim (H1H1) at a significance
level of α=0.10α=0.10.
Ho:p1=p2Ho:p1=p2
H1:p1≠p2H1:p1≠p2
You obtain a sample from the first population with 412 successes
and 342 failures. You obtain a sample from the second population
with 274 successes and 179 failures.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value =
The p-value...
1. You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. Ho:p1≥p2Ho:p1≥p2...
1. You wish to test the following claim (HaHa) at a significance
level of α=0.005α=0.005.
Ho:p1≥p2Ho:p1≥p2
Ha:p1<p2Ha:p1<p2
You obtain 457 successes in a sample of size n1=557n1=557 from the
first population. You obtain 252 successes in a sample of size
n2=297n2=297 from the second population.
critical value =
[three decimal accuracy]
test statistic =
[three decimal accuracy]
The test statistic is...
in the critical region
not in the critical region
This test statistic leads to a decision to...
reject the...
You wish to test the following claim (Ha) at a significance level of α=0.005. Ho:p1=p2 Ha:p1≠p2...
You wish to test the following claim (Ha) at a significance
level of α=0.005.
Ho:p1=p2
Ha:p1≠p2
You obtain a sample from the first population with 117 successes
and 176 failures. You obtain a sample from the second population
with 164 successes and 132 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 (Ha) at a significance level of α=0.005. Ho:p1=p2 Ha:p1>p2...
You wish to test the following claim (Ha) at a significance
level of α=0.005. Ho:p1=p2 Ha:p1>p2 You obtain 106 successes in
a sample of size n1=522 from the first population. You obtain 33
successes in a sample of size n2=270 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...
1) You wish to test the following claim (H1) at a significance level of α=0.05 Ho:p1=p2...
1) You wish to test the following claim (H1) at a significance
level of α=0.05
Ho:p1=p2
H1:p1<p2
You obtain 23 successes in a sample of size n1=268 from the first
population. You obtain 79 successes in a sample of size n2=465 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...
You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. For the...
You wish to test the following claim (HaHa) at a significance
level of α=0.005α=0.005. For the context of this problem,
μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and
the second data set represents a post-test.
Ho:μd=0Ho:μd=0
Ha:μd>0Ha:μd>0
You believe the population of difference scores is normally
distributed, but you do not know the standard deviation. You obtain
the following sample of data:
pre-test
post-test
48.6
37.2
53
73.8
69.1
78.9
43.7
35.4
51.7
50.9
48.3
38.7
54.7
58.1...
You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. For the...
You wish to test the following claim (HaHa) at a significance
level of α=0.005α=0.005. For the context of this problem,
μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and
the second data set represents a post-test.
Ho:μd=0Ho:μd=0
Ha:μd≠0Ha:μd≠0
You believe the population of difference scores is normally
distributed, but you do not know the standard deviation. You obtain
the following sample of data:
pre-test
post-test
49.9
43.5
44.4
44
54.6
55.7
43.5
40.1
56.9
52.7
52.7
39.2
44.9
35.7...
You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. For the...
You wish to test the following claim (HaHa) at a significance
level of α=0.005α=0.005. For the context of this problem,
μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and
the second data set represents a post-test.
Ho:μd=0
Ha:μd<0
You believe the population of difference scores is normally
distributed, but you do not know the standard deviation. You obtain
the following sample of data:
pre-test
post-test
52.1
30.9
53.3
34.3
43.4
-12.1
46.8
41.3
54.5
6.7
38.9
23
58.3
38...
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