Question

determine whether the following statements about null and alternative hypotheses are true or false. place \true\ or \false\ at the end of each statement. there can be multiple null hypotheses. alternative hypotheses infer an effect between two variables. a null hypothesis states that there is no relationship between the independent and dependent variables. there can be multiple alternative hypotheses.

Explanation:

1. In a hypothesis - testing context, there is typically one null hypothesis per test. So, the statement "There can be multiple null hypotheses" is false.
2. Alternative hypotheses are formulated to suggest that there is an effect, difference, or relationship between two or more variables, so "Alternative hypotheses infer an effect between two variables" is true.
3. By definition, a null hypothesis states that there is no relationship between the independent and dependent variables, so this statement is true.
4. There can be multiple alternative hypotheses in a complex situation (e.g., one - sided and two - sided alternatives, or different types of relationships), so "There can be multiple alternative hypotheses" is true.

Answer:

1. False
2. True
3. True
4. True