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) A and D
B) A and B
C) C and D
D) B and C

Question

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) A and D
B) A and B
C) C and D
D) B and C

Quizplus · Accepted Answer

Increasing the sample size $n$ increases the test's power, thereby reducing $\beta$. Increasing $\alpha$ also reduces $\beta$ as it increases the likelihood of rejecting the null hypothesis.

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

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