Statistics and Probability Module: Identifying Appropriate Rejection Region Involving Population Proportion

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.

Recall that the normal curve evolves from the probability distribution. With the area under the curve being 1, it serves as a mathematical model in hypothesis testing. The areas are the probability value that we will need in decision-making on whether to accept or reject the hypothesis.

This module will help you identify the appropriate rejection region for a given level of significance when the Central Limit Theorem is to be used.

After going through this module, you are expected to:

1. determine the critical value using the given level of significance;

2. transform the alternative hypothesis from statement into symbols; and

3. illustrate and identify the rejection region under the normal curve.

Statistics and Probability Quarter 4 Self-Learning Module: Identifying Appropriate Rejection Region Involving Population Proportion


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