Power of a Test for a Proportion
A hypothesis test is performed on a candidate’s claim of 70% support. The null hypothesis is rejected if the sample proportion is less than . A Type II error is possible if the true proportion is . What is the consequence for the test if the true proportion were instead?
A
The Type I error rate would double, leading to more frequent incorrect rejections of the null hypothesis.
B
The significance level would automatically adjust to maintain constant power regardless of the true support value.
C
The test’s power would decrease, making it less likely to correctly reject the null hypothesis.
D
The test’s power would increase, thereby reducing the probability of a Type II error.
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