study guides for every class
that actually explain what's on your next test
Alternative hypothesis
from class:
Intro to Statistics
Definition
An alternative hypothesis is a statement that suggests a potential outcome that contradicts the null hypothesis. It indicates the presence of an effect or difference.
congrats on reading the definition of alternative hypothesis. now let's actually learn it.
5 Must Know Facts For Your Next Test
- The alternative hypothesis is typically denoted as $H_1$ or $H_a$.
- It proposes that there is a statistically significant effect or difference.
- The alternative hypothesis can be one-sided (directional) or two-sided (non-directional).
- Rejecting the null hypothesis in favor of the alternative hypothesis implies that the sample data provides sufficient evidence to support $H_1$.
- The type of test (e.g., t-test, z-test) and significance level ($\alpha$) affect whether the null hypothesis can be rejected.
Review Questions
- What does rejecting the null hypothesis imply about the alternative hypothesis?
- How is the alternative hypothesis represented symbolically?
- What are the two types of alternative hypotheses in terms of directionality?
"Alternative hypothesis" also found in:
© 2025 Fiveable Inc. All rights reserved.
AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.