Question
In: Statistics and Probability
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 null
- accept the null
- fail to reject the null
As such, the final conclusion is that...
- There is sufficient evidence to support that the first population proportion is less than the second population proportion.
- There is not sufficient evidence to support that the first population proportion is less than the second population proportion.
Solutions
orchestra answered 2 years agoRelated Solutions
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...
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...
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=PostTest−PreTestμd=PostTest-PreTest one data set represents a
pre-test and the other data set represents a post-test. Each row
represents the pre and post test scores for an individual.
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
63.4
104.2
65.8
90...
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
pre-test and post-test samples for n=264n=264 subjects. The average
difference (post - pre) is ¯d=3.6d¯=3.6 with a standard deviation
of the...
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 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 412 successes in a sample of size n1=655n1=655 from the
first population. You obtain 416 successes in a sample of size
n2=731n2=731 from the second population. Use the normal
distribution as an approximation for the binomial
distribution.
What is the critical value for this test? (Report answer accurate
to three decimal places.)
critical value = ±±
What is the test statistic for...
You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. Ho:p1=p2Ho:p1=p2 Ha:p1>p2Ha:p1>p2...
You wish to test the following claim (HaHa) at a significance
level of α=0.002α=0.002.
Ho:p1=p2Ho:p1=p2
Ha:p1>p2Ha:p1>p2
You obtain 494 successes in a sample of size n1=565n1=565 from the
first population. You obtain 250 successes in a sample of size
n2=307n2=307 from the second population.
Which test would you use?
T-Test (Matched Pairs)
2-SampTTest (not pooled)
2-PropZInterval
2-PropZTest
2-SampTTest (pooled)
2-SampTInterval
-abcdefgh
-abcdefgh
-abcdefgh
-abcdefgh
-abcdefgh
-abcdefgh
-abcdefgh
-abcdefgh
You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. Ho:p1=p2Ho:p1=p2 Ha:p1>p2Ha:p1>p2...
You wish to test the following claim (HaHa) at a significance
level of α=0.002α=0.002.
Ho:p1=p2Ho:p1=p2
Ha:p1>p2Ha:p1>p2
You obtain 494 successes in a sample of size n1=565n1=565 from the
first population. You obtain 250 successes in a sample of size
n2=307n2=307 from the second population.
Which test would you use?
T-Test (Matched Pairs)
2-SampTTest (not pooled)
2-PropZInterval
2-PropZTest
2-SampTTest (pooled)
2-SampTInterval
You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. Ho:p1=p2Ho:p1=p2 Ha:p1>p2Ha:p1>p2...
You wish to test the following claim (HaHa) at a significance
level of α=0.001α=0.001.
Ho:p1=p2Ho:p1=p2
Ha:p1>p2Ha:p1>p2
You obtain 42.8% successes in a sample of size n1=621n1=621 from
the first population. You obtain 37.7% successes in a sample of
size n2=355n2=355 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...
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