Test Hypotheses about a Population Proportion
-The greater the power of the test the more likely the test will
A) reject $\mathrm { H } _ { 0 }$ when $\mathrm { H } _ { 1 }$ is true.
B) reject $\mathrm { H } _ { 0 }$ when $\mathrm { H } _ { 1 }$ is false.
C) fail to reject $\mathrm { H } _ { 0 }$ when $\mathrm { H } _ { 1 }$ is true.
D) fail to reject $\mathrm { H } _ { 0 }$ when $\mathrm { H } _ { 1 }$ is false.

Question

Quizplus · Accepted Answer

The power of a test is the probability that it correctly rejects the null hypothesis ($H_0$) when the alternative hypothesis ($H_1$) is true. Therefore, a greater power means a higher likelihood of correctly rejecting $H_0$ in favor of $H_1$ when $H_1$ is indeed true.

Test Hypotheses About a Population Proportion -The Greater the Power H0\mathrm { H } _ { 0 }H0​

Test Hypotheses About a Population Proportion
-The Greater the Power $\mathrm { H } _ { 0 }$