Asked by Adrian Montoya on Jun 09, 2024
Verified
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.
Alternative Hypothesis
The hypothesis that states there is a statistically significant relationship between two variables, contrary to the null hypothesis.
Means
The statistical measure that identifies the central tendency of a data set by dividing the sum of all values by the number of values.
- Comprehend the implications of the alternative hypothesis in testing differences between means.
Verified Answer
AJ
Annette JollyJun 16, 2024
Final Answer :
C
Explanation :
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.
Learning Objectives
- Comprehend the implications of the alternative hypothesis in testing differences between means.