In hypothesis testing, why are verbal problem statements converted to numerical problem statements?
Why is it important to identify the parameter when converting a problem statement from verbal to numerical?
Why do a null and alternative hypothesis have to be mutually exclusive?
If I have read your questions correctly:
1. To attempt to solve the problem.
2. What units are you talking about? Pounds? Meters? Decibels?
3. How can something be true and not true at the same time?
I hope this helps.
In hypothesis testing, why are verbal problem statements converted to numerical problem statements?
Why is it important to identify the parameter when converting a problem statement from verbal to numerical?
Why do a null and alternative hypothesis have to be mutually exclusive?
In hypothesis testing, verbal problem statements are often converted to numerical problem statements to make them more precise and specific. Verbal statements can be subjective and open to interpretation, whereas numerical statements provide a clear and definite framework for analysis.
When converting a problem statement from verbal to numerical, it is important to identify the parameter because the parameter represents the quantity or characteristic of interest that is being tested. It specifies what aspect of the population is being studied and forms the basis for formulating the null and alternative hypotheses.
The null and alternative hypotheses in hypothesis testing must be mutually exclusive to ensure that they cover all possible outcomes. The null hypothesis represents the status quo or the assumption that there is no significant difference or relationship, while the alternative hypothesis challenges the null hypothesis by claiming that there is a significant difference or relationship. Having mutually exclusive hypotheses allows for a clear distinction between these two possibilities and facilitates the testing procedure.