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Answer: The likelihood of rejecting the null hypothesis when it is true decreases.
## Explanation When the level of significance (α) is decreased: - **Type I error** (rejecting a true null hypothesis) decreases because α represents the probability of Type I error - **Type II error** (failing to reject a false null hypothesis) increases - **Power of the test** (1 - Type II error) decreases **Option A is correct** because decreasing significance level reduces the probability of rejecting the null hypothesis when it's actually true. **Option B is incorrect** - Type I error decreases, not increases **Option C is incorrect** - The null hypothesis is rejected less frequently **Option D is incorrect** - Type II error increases, not decreases
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When testing a hypothesis, which of the following statements is correct when the level of significance of the test is decreased?
A
The likelihood of rejecting the null hypothesis when it is true decreases.
B
The likelihood of making a Type I error increases.
C
The null hypothesis is rejected more frequently, even when it is actually false.
D
The likelihood of making a Type II error decreases.
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