Explain intuitively why minimizing Type I error and maximizing
the power of a test are contradic-
tory...
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Basic Math
Explain intuitively why minimizing Type I error and maximizingthe power of a test are contradic-
tory goals. Also draw the power function graph and label Type Ierror, Type II error, and power.)
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Type I Error is rejecting the null hypothesis in favorof a false alternative hypothesis and a Type II Error is failingto reject a false null hypothesis in favor of a true alternativehypothesis The probability of a Type I error is typically known asAlpha while the probability of a Type II error is typically knownas BetaNow on to power Bullard describes multiple ways tointerpret power correctlyPower is the probability of rejecting the nullhypothesis when in fact it is falsePower is the probability of making a correct decisionto reject the null hypothesis when the null hypothesis isfalsePower is the probability that a test of significancewill pick up on an effect that is presentPower is the probability that a test of
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