![]() ![]() The yellow area under this curve is α, the probability of rejecting H 0 when it is really true. The top curve shows the sampling distribution of the sample mean when your null hypothesis is true. Review the "Statistical Significance" applet to recall how tests with significance level α work. Finding the power of a test assumes that you have set a fixed significance level α for the test. This applet illustrates the power of statistical tests. ![]() To set up the test, enter your information: What null hypothesis H 0 about the mean μ do you want to test? Is your alternative hypothesis one-sided high, one-sided low, or two-sided? What level of significance α do you require? How many observations do you have (50 or fewer)? What is the known value of the standard deviation σ? Finally, against what specific alternative value of the mean μ do you want to find the power? When you have entered your information, click UPDATE.Ĭlick the "Quiz Me" button to complete the activity. ![]()
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