Alternative Hypothesis
Definition
The alternative hypothesis is a statement that contradicts or negates the null hypothesis. It suggests that there is a significant relationship or difference between variables.
Analogy
Think of the alternative hypothesis as a detective's theory about a crime. It proposes that something meaningful and important has occurred, just like how the alternative hypothesis suggests there is a significant relationship between variables.
Related terms
Null Hypothesis: A statement that assumes no significant relationship or difference between variables.
Type I Error: When we reject the null hypothesis when it is actually true.
Type II Error: When we fail to reject the null hypothesis when it is actually false.
"Alternative Hypothesis" appears in:
Subjects (1)
Study guides (5)
AP Statistics - 6.7 Potential Errors When Performing Tests
AP Statistics - 6.9 Justifying a Claim Based on a Confidence Interval for a Difference of Population Proportions
AP Statistics - 6.10 Setting Up a Test for the Difference of Two Population Proportions
AP Statistics - 7.4 Setting Up a Test for a Population Mean
AP Statistics - 9.5 Carrying Out a Test for the Slope of a Regression Model
Additional resources (1)
Practice Questions (5)
In a chi-squared test for homogeneity, what does the alternative hypothesis indicate?
For a chi-square test of independence the alternative hypothesis states:
What is the alternative hypothesis (Ha) for a t-test of the slope when testing whether the slope is not equal to a hypothesized value (β0)?
Can we "accept" a null or alternative hypothesis?
Which of the following is an invalid alternative hypothesis for a one-proportion z-test?
Resources
© 2024 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.