Statistics is a vast field in mathematics with many practical uses. For academic purposes, many topics can be explored by conducting a statistical research study. A research study involves a researcher selecting a hypothesis and then conducting research that will either prove or disprove the hypothesis. Because studies are conducted by humans, errors can occur. In research studies, errors are classified as Type I and Type II errors. A Type I error occurs when a researcher incorrectly rejects a hypothesis that is actually true. A Type II error is the opposite of a Type I, where a researcher fails to reject the hypothesis.
Instructions
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1
Calculate your standard deviation and population for your data set.
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2
Find Z by subtracting your sample population from your total population and dividing the result by your standard deviation.
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3
Find the rejection region in terms of x-bar by referencing the number you just calculated to your Z table, which will give you the probability that a Type II error has occurred.