True or false, and state why:
a. The significance level of a statistical test is equal to the probability that the null hypothesis is true.
b. If the significance level of a test is decreased, the power would be expected to increase.
c. If a test is rejected at the significance level α, the probability that the null hypothesis is true equals α.
d. The probability that the null hypothesis is falsely rejected is equal to the power of the test.
e. A type I error occurs when the test statistic falls in the rejection region of the test.
f. A type II error is more serious than a type I error.
g. The power of a test is determined by the null distribution of the test statistic.
h. The likelihood ratio is a random variable.
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