For a simple null hypotheses versus a simple alternative hypothesis, two tests found different rejection regions....
For a simple null hypotheses versus a simple alternative hypothesis, two tests found different rejection regions. One rejection region is C1={X⎯⎯⎯:X¯≤0.14 or X¯≥1.14} and the other is C2={X⎯⎯⎯:X¯≤0.1 or X¯≥1.07}. Both tests have significance level of 0.045. What can you say about the power of the two tests?
A.
The test based on C2 has higher power since there are more values that would be rejected.
B.
We don't have enough information to compare the power of the tests.
C.
Since both tests have the same significance level, they have the same power.
D.
The test based on C1 has higher power since there are more values that would not be rejected.
Homework Answers
Since the power of the test depends upon the alternative hypothesis and critical region. It is the probability of rejecting the null hypothesis when the alternative hypothesis is true. Since there is no alternative hypothesis is given hence we can not calculate the power of the tests and hence we can not compare both tests. Hence option B is correct which states that we do not have enough information to compare the power of the tests.
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For a simple null hypotheses versus a simple alternative
hypothesis, two tests found different rejection regions....
Suppose you test null hypothesis Ho : μι_Ha versus Ha : μ.μ2 , software gives 12.3 degrees of fre...
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A.
B.
Please follow the steps of hypothesis testing, including
identifying the alternative and null hypothesis, calculating the
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the null hypothesis and a final conclusion that addresses the
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Two different analytical tests can be used to determine the level of impurity of steel alloys....
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Test1
Test 2
1
1.2
1.4
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1.3
1.7
3
1.5
1.5
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1.3
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suppose you test null hypothesis Ho : μι_Ha versus Ha : μ.μ2 , software gives 12.3 degrees of freedom for your t test. Answer the following questions: a) If test statistics t-2.25 5, use the rejection region to decide if Ho be rejected or not at a .0.05? Include a sketch, clearly label critical value(s) and rejection and nonrejection regions. b) If test statistics was t-1.14, use a 0.05, compute the p-value and decide if Ho b rejected or not...
A.
B.
Please follow the steps of hypothesis testing, including
identifying the alternative and null hypothesis, calculating the
test statistic, finding the p-value, and making a conclusions about
the null hypothesis and a final conclusion that addresses the
original claim. Use a significance level of 0.10. Is the conclusion
affected by whether the significance level is 0.10 or 0.01?
Test Statistic=______ (Round to two decimal places)
P-Value=______ (Round to three decimal places)
Answer choices below:
a) Yes, the conclusion is...
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1
1.2
1.4
2
1.3
1.7
3
1.5
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4
1.4
1.3
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1.7
2.0
6
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