If you look at the power curve or the OC
If you look at the power curve or the OC curve of a two-tailed test, you see that there is no region that represents instances of type I error, whereas there are large regions that represent instances of type II error. Does this mean that there is no chance of type I error? Think carefully, and explain the chances of type I error and the role of α in a two-tailed test.
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