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 teacher’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 lessons, you have studied how to formulate appropriate null and alternative hypotheses concerning population means. Also, you’ve learned how to draw correct conclusions after solving given problems based on the test statistic and the rejection region.

In this module, you will have a short recall about population proportions and all other related concepts with their equivalent symbols like test statistic, rejection region, p-value, level of significance, etc.

After going through this module, you are expected to:

1. recall and identify the symbols used in formulating hypotheses;

2. formulate the appropriate null and alternative hypotheses concerning population proportions; and

3. identify whether the given hypothesis test is a single-tailed or a two-tailed test.

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

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