1. For a test at a fixed significance level, and with given null and alternative hypotheses, what will happen to the power as the sample size increases? 2. For a test of a given null hypothesis against a given alternative hypothesis, and with a given sample size, describe what would happen to the power of the test if the signifi- cance level was changed from 5% to 1%. 3. A test of a given null hypothesis against a given alternative hypothesis, with a sample of size n and significance level of, has power of 80%. What change could I make to the test to increase my chance of rejecting a false null hypothesis? 4. How can we attain a test which has a very low probability of Type I error and also a uoru low probability of Type II error? 33°C Mostly sunny NO

College Algebra (MindTap Course List)
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Author:R. David Gustafson, Jeff Hughes
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hw9.pdf
Statistics
HomeworK 9
Patrick Gaule
CERGE-EI
November 14, 2015
1. For a test at a fixed significance level, and with given null and alternative hypotheses,
what will happen to the power as the sample size increases?
1.
2. For a test of a given null hypothesis against a given alternative hypothesis, and with a
given sample size, describe what would happen to the power of the test if the signifi-
cance level was changed from 5% to 1%.
3. A test of a given null hypothesis against a given alternative hypothesis, with a sample
of size n and significance level of, has power of 80%. What change could I make to the
test to increase my chance of rejecting a false null hypothesis?
4. How can we attain a test which has a very low probability of Type I error and also a
very low probability of Type II error?
33°C Mostly sunny
P Type here to search
Transcribed Image Text:hw9.pdf Statistics HomeworK 9 Patrick Gaule CERGE-EI November 14, 2015 1. For a test at a fixed significance level, and with given null and alternative hypotheses, what will happen to the power as the sample size increases? 1. 2. For a test of a given null hypothesis against a given alternative hypothesis, and with a given sample size, describe what would happen to the power of the test if the signifi- cance level was changed from 5% to 1%. 3. A test of a given null hypothesis against a given alternative hypothesis, with a sample of size n and significance level of, has power of 80%. What change could I make to the test to increase my chance of rejecting a false null hypothesis? 4. How can we attain a test which has a very low probability of Type I error and also a very low probability of Type II error? 33°C Mostly sunny P Type here to search
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