HS.S-IC.2

Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation.

Example Problems
A significance test is going to be performed using a significance level of . Suppose that the alternative hypothesis is actually true.

If the
significance level was raised to , which of the following would be true?
The
power of the test would: increase, decrease, or stay the same.
A significance test is going to be performed using a significance level of . Suppose that the null hypothesis is actually true.

If the
significance level was raised to , which of the following would be true?
The probability of a
Type I error would: increase, decrease, or stay the same.
A significance test is going to be performed using a significance level of . Suppose that the null hypothesis is actually true.

If the
significance level was lowered to , which of the following would be true?
The probability of a
Type I error would: increase, decrease, or stay the same.
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