Assume that a hypothesis test to reject the given claim will be conducted. Identify the type I or type II error for the test.
-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) B and C
D) C and D

Question

Quizplus · Accepted Answer

Increasing the sample size while keeping alpha fixed will decrease the probability of making a type II error, as it increases the power of the test. Increasing alpha will only increase the probability of making a type I error, which is not related to decreasing the probability of making a type II error. Decreasing the sample size while keeping alpha fixed will also decrease the power of the test, increasing the probability of making a type II error.

Assume That a Hypothesis Test to Reject the Given Claim β\betaβ

Assume That a Hypothesis Test to Reject the Given Claim $\beta$