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?

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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 significance 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 the 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?

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