APFIVE Power of a Test for a Proportion
In an experiment designed to test a candidate’s claim of 70% support using a rejection cutoff at $$0.65$$, it is known that if the true proportion is $$0.63$$, a Type II error might occur. What would happen if, instead, the true support were $$0.68$$?
A
The Type I error rate would double, leading to more frequent incorrect rejections of the null hypothesis.
B
The test’s power would decrease, making it less likely to correctly reject the null hypothesis.
C
The test’s power would increase, thereby reducing the probability of a Type II error.
D
The significance level would automatically adjust to maintain constant power regardless of the true support value.
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