In testing the difference between two means, which of the following is implied by the alternative hypothesis (H₁)? A) The two population means are equal to each other. B) The difference between the two population means is equal to 0. C) The difference between the two population means is not equal to 0. D) The difference between the two sample means is equal to 0.

Question

Quizplus · Accepted Answer

The alternative hypothesis H₁ states that the difference between the two population means is not equal to 0. This implies that we are testing for a significant difference between the two sample means and rejecting the null hypothesis (that the two population means are equal). Option A is incorrect because it refers to the null hypothesis. Option B is incorrect because it states that the difference between the two population means is equal to 0, which is the null hypothesis. Option D is incorrect because it refers to the sample means, not the population means.

In Testing the Difference Between Two Means, Which of the Following