In a hypothesis test of the difference between two population means,if the probability of Type II error is 0.25,then: A)the probability of rejecting H₀,given thatH₀is false is 0.75. B)the probability of Type I error is 0.75. C)the probability of rejecting H₀,given thatH₀is true,is 0.75. D)the probability of accepting H₁,given that H₀is true is 0.75.

Question

Quizplus · Accepted Answer

The probability of a Type II error is the probability of failing to reject the null hypothesis when it is false. Therefore, if the probability of a Type II error is 0.25, the probability of correctly rejecting the null hypothesis when it is false (the power of the test) is 1 - 0.25 = 0.75.

In a Hypothesis Test of the Difference Between Two Population