In a hypothesis test, which of the following will cause a decrease in $\beta$, the probability of making a type II error?
A: Increasing $\alpha$ while keeping the sample size $n$, fixed
$B$ : Increasing the sample size $n$, while keeping $\alpha$ fixed
$\mathrm { C }$ : Decreasing $\alpha$ while keeping the sample size $n$, fixed
D: Decreasing the sample size $n$, while keeping $\alpha$ fixed
A) B and C
B) C and D
C) A and B
D) A and D

Question

Quizplus · Accepted Answer

Increasing $\alpha$ (the significance level) makes it easier to reject the null hypothesis, thus reducing the chance of a Type II error ($\beta$). Increasing the sample size $n$ also reduces $\beta$ by making the test more sensitive to detecting a true effect.

In a Hypothesis Test, Which of the Following Will Cause β\betaβ

In a Hypothesis Test, Which of the Following Will Cause $\beta$