The alternative hypothesis, denoted as Ha, is a statement that contradicts or challenges the null hypothesis. It suggests that there is a significant relationship or difference between variables being studied.
Think of the alternative hypothesis as a detective's theory about a crime. It proposes that there is evidence to support the idea that something meaningful has occurred and it wasn't just due to chance.
Null Hypothesis: The null hypothesis, denoted as H0, is the opposite of the alternative hypothesis. It assumes that any observed differences or relationships are due to random chance.
Type I Error: A type I error occurs when we reject the null hypothesis when it is actually true. In other words, we mistakenly conclude there is an effect or relationship when there isn't one.
Type II Error: A type II error occurs when we fail to reject the null hypothesis when it is actually false. In other words, we miss detecting an effect or relationship that truly exists.
AP Statistics - 7.10 Skills Focus: Selecting, Implementing, and Communicating Inference Procedures
AP Statistics - 8.5 Setting Up a Chi-Square Test for Homogeneity or Independence
AP Statistics - 8.6 Carrying Out a Chi-Square Test for Homogeneity or Independence
AP Statistics - 8.7 Skills Focus: Selecting an Appropriate Inference Procedure for Categorical Data
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