This Self-Learning Module (SLM) is prepared so that you, our dear learners, can continue your studies and learn while at home. Activities, questions, directions, exercises, and discussions are carefully stated for you to understand each lesson.

Each SLM is composed of different parts. Each part shall guide you step-by-step as you discover and understand the lesson prepared for you.

Pre-tests are provided to measure your prior knowledge on lessons in each SLM. This will tell you if you need to proceed on completing this module or if you need to ask your facilitator or your teacherâ€™s assistance for better understanding of the lesson. At the end of each module, you need to answer the post-test to self-check your learning. Answer keys are provided for each activity and test. We trust that you will be honest in using these.

Please use this module with care. Do not put unnecessary marks on any part of this SLM. Use a separate sheet of paper in answering the exercises and tests. And read the instructions carefully before performing each task.

In the previous module, you learned about the parameters used in hypothesis testing. You were able to identify the parameters to be tested in given real-life problems. You also learned how to translate the parameter into mathematical symbols as the first step in hypothesis testing.

In this module, you will learn how to formulate null and alternative hypotheses on a population mean.

After going through this module, you are expected to:

1. identify the notation to be used in formulating hypotheses;

2. illustrate one-tailed and two-tailed tests;

3. differentiate null and alternative hypotheses; and

4. formulate null and alternative hypotheses.

## Statistics and Probability Quarter 4 Self-Learning Module: Formulating Appropriate Null and Alternative Hypotheses on a Population Mean

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